431313241400 has 24 divisors (see below), whose sum is σ = 1002803286720. Its totient is φ = 172525296480.

The previous prime is 431313241379. The next prime is 431313241417. The reversal of 431313241400 is 4142313134.

It is a happy number.

It is a super-2 number, since 2×431313241400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 431313241400.

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 5 ways as a sum of consecutive naturals, for example, 1078282904 + ... + 1078283303.

It is an arithmetic number, because the mean of its divisors is an integer number (41783470280).

Almost surely, 2^431313241400 is an apocalyptic number.

431313241400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431313241400 is an abundant number, since it is smaller than the sum of its proper divisors (571490045320).

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

431313241400 is a wasteful number, since it uses less digits than its factorization.

431313241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156566223 (or 2156566214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 431313241400 its reverse (4142313134), we get a palindrome (435455554534).

The spelling of 431313241400 in words is "four hundred thirty-one billion, three hundred thirteen million, two hundred forty-one thousand, four hundred".