431400343334004 has 96 divisors (see below), whose sum is σ = 1221819156633600. Its totient is φ = 130545558182880.

The previous prime is 431400343333991. The next prime is 431400343334101. The reversal of 431400343334004 is 400433343004134.

431400343334004 is a `hidden beast` number, since 4 + 314 + 0 + 0 + 3 + 4 + 3 + 334 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×431400343334004² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 431400343334004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251671282 + ... + 253379625.

It is an arithmetic number, because the mean of its divisors is an integer number (12727282881600).

Almost surely, 2^{431400343334004} is an apocalyptic number.

431400343334004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

431400343334004 is an abundant number, since it is smaller than the sum of its proper divisors (790418813299596).

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

431400343334004 is a wasteful number, since it uses less digits than its factorization.

431400343334004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505051650 (or 505051642 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 431400343334004 its reverse (400433343004134), we get a palindrome (831833686338138).

The spelling of 431400343334004 in words is "four hundred thirty-one trillion, four hundred billion, three hundred forty-three million, three hundred thirty-four thousand, four".