431040354412005 has 384 divisors, whose sum is σ = 873307262016000. Its totient is φ = 200488917049344.

The previous prime is 431040354411977. The next prime is 431040354412039. The reversal of 431040354412005 is 500214453040134.

431040354412005 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 4 + 0 + 3 + 5 + 441 + 200 + 5 = 666.

It is not a de Polignac number, because 431040354412005 - 2¹¹ = 431040354409957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34669048269 + ... + 34669060701.

It is an arithmetic number, because the mean of its divisors is an integer number (2274237661500).

Almost surely, 2^{431040354412005} is an apocalyptic number.

431040354412005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431040354412005 is an abundant number, since it is smaller than the sum of its proper divisors (442266907603995).

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

431040354412005 is a wasteful number, since it uses less digits than its factorization.

431040354412005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12962 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 431040354412005 in words is "four hundred thirty-one trillion, forty billion, three hundred fifty-four million, four hundred twelve thousand, five".