972831332311440 has 240 divisors, whose sum is σ = 3542271465866112. Its totient is φ = 216351678025728.

The previous prime is 972831332311439. The next prime is 972831332311481. The reversal of 972831332311440 is 44113233138279.

972831332311440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×972831332311440² (a number of 31 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209192509 + ... + 213792348.

Almost surely, 2^{972831332311440} is an apocalyptic number.

It is an amenable number.

972831332311440 is an abundant number, since it is smaller than the sum of its proper divisors (2569440133554672).

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

972831332311440 is a wasteful number, since it uses less digits than its factorization.

972831332311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422984954 (or 422984911 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 972831332311440 in words is "nine hundred seventy-two trillion, eight hundred thirty-one billion, three hundred thirty-two million, three hundred eleven thousand, four hundred forty".