Use the IS NULL (or IS NOT NULL) comparison instead
mysql>
mysql> SELECT NULL IS NULL;
+--------------+
| NULL IS NULL |
+--------------+
| 1 |
+--------------+
1 row in set (0.00 sec)
mysql>
mysql> SELECT 4.5 BETWEEN 4 and 5;
+---------------------+
| 4.5 BETWEEN 4 and 5 |
+---------------------+
| 1 |
+---------------------+
1 row in set (0.00 sec)