200031431300400 has 120 divisors (see below), whose sum is σ = 732305544715264. Its totient is φ = 45721470009600.

The previous prime is 200031431300383. The next prime is 200031431300419. The reversal of 200031431300400 is 4003134130002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11906624416 + ... + 11906641215.

Almost surely, 2^{200031431300400} is an apocalyptic number.

200031431300400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200031431300400 is an abundant number, since it is smaller than the sum of its proper divisors (532274113414864).

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

200031431300400 is a wasteful number, since it uses less digits than its factorization.

200031431300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23813265659 (or 23813265648 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 200031431300400 its reverse (4003134130002), we get a palindrome (204034565430402).

The spelling of 200031431300400 in words is "two hundred trillion, thirty-one billion, four hundred thirty-one million, three hundred thousand, four hundred".