The next number in the series is 25.
This series is composed of perfect squares. The numbers you see are:
- 1 is 1 squared (12)
- 4 is 2 squared (22)
- 9 is 3 squared (32)
- 16 is 4 squared (42)
Continuing this pattern, the next number would be 5 squared (52), which equals 25.