diff --git a/python/plugins/processing/algs/qgis/RandomPointsAlongLines.py b/python/plugins/processing/algs/qgis/RandomPointsAlongLines.py
index 15d8f4f97619..9127bd21d025 100644
--- a/python/plugins/processing/algs/qgis/RandomPointsAlongLines.py
+++ b/python/plugins/processing/algs/qgis/RandomPointsAlongLines.py
@@ -51,9 +51,9 @@ def defineCharacteristics(self):
         self.addParameter(ParameterVector(self.VECTOR,
                                           self.tr('Input layer'), [ParameterVector.VECTOR_TYPE_LINE]))
         self.addParameter(ParameterNumber(self.POINT_NUMBER,
-                                          self.tr('Number of points'), 1, 9999999, 1))
+                                          self.tr('Number of points'), 1, None, 1))
         self.addParameter(ParameterNumber(self.MIN_DISTANCE,
-                                          self.tr('Minimum distance'), 0.0, 9999999.0, 0.0))
+                                          self.tr('Minimum distance'), 0.0, None, 0.0))
 
         self.addOutput(OutputVector(self.OUTPUT, self.tr('Random points')))
 
diff --git a/python/plugins/processing/algs/qgis/RandomPointsExtent.py b/python/plugins/processing/algs/qgis/RandomPointsExtent.py
index 581d31a8a56f..05b357a14338 100644
--- a/python/plugins/processing/algs/qgis/RandomPointsExtent.py
+++ b/python/plugins/processing/algs/qgis/RandomPointsExtent.py
@@ -52,9 +52,9 @@ def defineCharacteristics(self):
         self.addParameter(ParameterExtent(self.EXTENT,
                                           self.tr('Input extent')))
         self.addParameter(ParameterNumber(self.POINT_NUMBER,
-                                          self.tr('Points number'), 1, 9999999, 1))
+                                          self.tr('Points number'), 1, None, 1))
         self.addParameter(ParameterNumber(self.MIN_DISTANCE,
-                                          self.tr('Minimum distance'), 0.0, 9999999, 0.0))
+                                          self.tr('Minimum distance'), 0.0, None, 0.0))
 
         self.addOutput(OutputVector(self.OUTPUT, self.tr('Random points')))
 
diff --git a/python/plugins/processing/algs/qgis/RandomPointsLayer.py b/python/plugins/processing/algs/qgis/RandomPointsLayer.py
index c0a8e8786a14..54cebea5303b 100644
--- a/python/plugins/processing/algs/qgis/RandomPointsLayer.py
+++ b/python/plugins/processing/algs/qgis/RandomPointsLayer.py
@@ -51,9 +51,9 @@ def defineCharacteristics(self):
         self.addParameter(ParameterVector(self.VECTOR,
                                           self.tr('Input layer'), [ParameterVector.VECTOR_TYPE_POLYGON]))
         self.addParameter(ParameterNumber(self.POINT_NUMBER,
-                                          self.tr('Points number'), 1, 9999999, 1))
+                                          self.tr('Points number'), 1, None, 1))
         self.addParameter(ParameterNumber(self.MIN_DISTANCE,
-                                          self.tr('Minimum distance'), 0.0, 9999999, 0.0))
+                                          self.tr('Minimum distance'), 0.0, None, 0.0))
 
         self.addOutput(OutputVector(self.OUTPUT, self.tr('Random points')))
 
diff --git a/python/plugins/processing/algs/qgis/RandomPointsPolygonsFixed.py b/python/plugins/processing/algs/qgis/RandomPointsPolygonsFixed.py
index 72f86bd14916..0c924c1fbd85 100644
--- a/python/plugins/processing/algs/qgis/RandomPointsPolygonsFixed.py
+++ b/python/plugins/processing/algs/qgis/RandomPointsPolygonsFixed.py
@@ -59,9 +59,9 @@ def defineCharacteristics(self):
         self.addParameter(ParameterSelection(self.STRATEGY,
                                              self.tr('Sampling strategy'), self.strategies, 0))
         self.addParameter(ParameterNumber(self.VALUE,
-                                          self.tr('Number or density of points'), 0.0001, 9999999.0, 1.0))
+                                          self.tr('Number or density of points'), 0.0001, None, 1.0))
         self.addParameter(ParameterNumber(self.MIN_DISTANCE,
-                                          self.tr('Minimum distance'), 0.0, 9999999, 0.0))
+                                          self.tr('Minimum distance'), 0.0, None, 0.0))
 
         self.addOutput(OutputVector(self.OUTPUT, self.tr('Random points')))
 
diff --git a/python/plugins/processing/algs/qgis/RandomPointsPolygonsVariable.py b/python/plugins/processing/algs/qgis/RandomPointsPolygonsVariable.py
index f631a7509ef6..2d87ffc76dad 100644
--- a/python/plugins/processing/algs/qgis/RandomPointsPolygonsVariable.py
+++ b/python/plugins/processing/algs/qgis/RandomPointsPolygonsVariable.py
@@ -63,7 +63,7 @@ def defineCharacteristics(self):
                                               self.tr('Number field'),
                                               self.VECTOR, ParameterTableField.DATA_TYPE_NUMBER))
         self.addParameter(ParameterNumber(self.MIN_DISTANCE,
-                                          self.tr('Minimum distance'), 0.0, 9999999, 0.0))
+                                          self.tr('Minimum distance'), 0.0, None, 0.0))
         self.addOutput(OutputVector(self.OUTPUT, self.tr('Random points')))
 
     def processAlgorithm(self, progress):