225944759040 has 1152 divisors, whose sum is σ = 992133660672. Its totient is φ = 42299228160.

The previous prime is 225944758987. The next prime is 225944759063. The reversal of 225944759040 is 40957449522.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165284437 + ... + 165285803.

It is an arithmetic number, because the mean of its divisors is an integer number (861227136).

Almost surely, 2^225944759040 is an apocalyptic number.

225944759040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225944759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496066830336).

225944759040 is an abundant number, since it is smaller than the sum of its proper divisors (766188901632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225944759040 is a wasteful number, since it uses less digits than its factorization.

225944759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 225944759040 in words is "two hundred twenty-five billion, nine hundred forty-four million, seven hundred fifty-nine thousand, forty".