977252642400 has 144 divisors (see below), whose sum is σ = 3348376315200. Its totient is φ = 246884866560.

The previous prime is 977252642389. The next prime is 977252642417. The reversal of 977252642400 is 4246252779.

977252642400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 977252642400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10669890 + ... + 10761089.

It is an arithmetic number, because the mean of its divisors is an integer number (23252613300).

Almost surely, 2^977252642400 is an apocalyptic number.

It is an amenable number.

977252642400 is an abundant number, since it is smaller than the sum of its proper divisors (2371123672800).

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

977252642400 is a wasteful number, since it uses less digits than its factorization.

977252642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21431021 (or 21431008 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 977252642400 in words is "nine hundred seventy-seven billion, two hundred fifty-two million, six hundred forty-two thousand, four hundred".