97631430400 has 432 divisors, whose sum is σ = 295339097088. Its totient is φ = 31223808000.

The previous prime is 97631430371. The next prime is 97631430437. The reversal of 97631430400 is 403413679.

It is a self number, because there is not a number n which added to its sum of digits gives 97631430400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42245245 + ... + 42247555.

Almost surely, 2^97631430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97631430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147669548544).

97631430400 is an abundant number, since it is smaller than the sum of its proper divisors (197707666688).

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

97631430400 is a wasteful number, since it uses less digits than its factorization.

97631430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 97631430400 in words is "ninety-seven billion, six hundred thirty-one million, four hundred thirty thousand, four hundred".