40251600960 has 224 divisors, whose sum is σ = 132430723200. Its totient is φ = 10346004480.

The previous prime is 40251600953. The next prime is 40251600973. The reversal of 40251600960 is 6900615204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27031896 + ... + 27033384.

Almost surely, 2^40251600960 is an apocalyptic number.

40251600960 is a gapful number since it is divisible by the number (40) 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 40251600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66215361600).

40251600960 is an abundant number, since it is smaller than the sum of its proper divisors (92179122240).

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

40251600960 is a wasteful number, since it uses less digits than its factorization.

40251600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 40251600960 in words is "forty billion, two hundred fifty-one million, six hundred thousand, nine hundred sixty".