431142020400 has 240 divisors, whose sum is σ = 1699805483264. Its totient is φ = 90966205440.

The previous prime is 431142020383. The next prime is 431142020461. The reversal of 431142020400 is 4020241134.

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

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1864894 + ... + 2083293.

Almost surely, 2^431142020400 is an apocalyptic number.

431142020400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431142020400 is an abundant number, since it is smaller than the sum of its proper divisors (1268663462864).

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

431142020400 is a wasteful number, since it uses less digits than its factorization.

431142020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948228 (or 3948217 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 431142020400 its reverse (4020241134), we get a palindrome (435162261534).

The spelling of 431142020400 in words is "four hundred thirty-one billion, one hundred forty-two million, twenty thousand, four hundred".