431199728964 has 75 divisors (see below), whose sum is σ = 1133174115535. Its totient is φ = 142980712920.

The previous prime is 431199728941. The next prime is 431199729011. The reversal of 431199728964 is 469827991134.

The square root of 431199728964 is 656658.

It is a perfect power (a square), and thus also a powerful number.

431199728964 is a `hidden beast` number, since 431 + 1 + 9 + 97 + 28 + 96 + 4 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=573.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2257590109 + ... + 2257590299.

Almost surely, 2^431199728964 is an apocalyptic number.

431199728964 is the 656658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431199728964

431199728964 is an abundant number, since it is smaller than the sum of its proper divisors (701974386571).

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

431199728964 is an frugal number, since it uses more digits than its factorization.

431199728964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 196 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 431199728964 in words is "four hundred thirty-one billion, one hundred ninety-nine million, seven hundred twenty-eight thousand, nine hundred sixty-four".