431426588670 has 384 divisors, whose sum is σ = 1409619594240. Its totient is φ = 88937533440.

The previous prime is 431426588639. The next prime is 431426588737. The reversal of 431426588670 is 76885624134.

It is a happy number.

431426588670 is a `hidden beast` number, since 4 + 31 + 4 + 26 + 588 + 6 + 7 + 0 = 666.

It is a super-2 number, since 2×431426588670² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 727531894 + ... + 727532486.

It is an arithmetic number, because the mean of its divisors is an integer number (3670884360).

Almost surely, 2^431426588670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431426588670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704809797120).

431426588670 is an abundant number, since it is smaller than the sum of its proper divisors (978193005570).

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

431426588670 is a wasteful number, since it uses less digits than its factorization.

431426588670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 431426588670 in words is "four hundred thirty-one billion, four hundred twenty-six million, five hundred eighty-eight thousand, six hundred seventy".