431253310400 has 168 divisors, whose sum is σ = 1176601426320. Its totient is φ = 154248192000.

The previous prime is 431253310399. The next prime is 431253310421. The reversal of 431253310400 is 4013352134.

It is a self number, because there is not a number n which added to its sum of digits gives 431253310400.

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 23 ways as a sum of consecutive naturals, for example, 872756 + ... + 1274444.

Almost surely, 2^431253310400 is an apocalyptic number.

431253310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431253310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588300713160).

431253310400 is an abundant number, since it is smaller than the sum of its proper divisors (745348115920).

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

431253310400 is a wasteful number, since it uses less digits than its factorization.

431253310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401783 (or 401768 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 431253310400 its reverse (4013352134), we get a palindrome (435266662534).

The spelling of 431253310400 in words is "four hundred thirty-one billion, two hundred fifty-three million, three hundred ten thousand, four hundred".