431112434032440 has 192 divisors, whose sum is σ = 1402201703728800. Its totient is φ = 114874206683136.

The previous prime is 431112434032387. The next prime is 431112434032459. The reversal of 431112434032440 is 44230434211134.

431112434032440 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 1 + 2 + 4 + 3 + 403 + 244 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 431112434032395 and 431112434032404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926538184 + ... + 3926647976.

Almost surely, 2^{431112434032440} is an apocalyptic number.

431112434032440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431112434032440 is an abundant number, since it is smaller than the sum of its proper divisors (971089269696360).

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

431112434032440 is a wasteful number, since it uses less digits than its factorization.

431112434032440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118166 (or 118159 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 431112434032440 its reverse (44230434211134), we get a palindrome (475342868243574).

The spelling of 431112434032440 in words is "four hundred thirty-one trillion, one hundred twelve billion, four hundred thirty-four million, thirty-two thousand, four hundred forty".