431429778256 has 40 divisors (see below), whose sum is σ = 837099993600. Its totient is φ = 215404220160.

The previous prime is 431429778239. The next prime is 431429778259. The reversal of 431429778256 is 652877924134.

It is a super-2 number, since 2×431429778256² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 431429778256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431429778259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34566225 + ... + 34578703.

It is an arithmetic number, because the mean of its divisors is an integer number (20927499840).

Almost surely, 2^431429778256 is an apocalyptic number.

It is an amenable number.

431429778256 is a deficient number, since it is larger than the sum of its proper divisors (405670215344).

431429778256 is a wasteful number, since it uses less digits than its factorization.

431429778256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15427 (or 15421 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 58.

The spelling of 431429778256 in words is "four hundred thirty-one billion, four hundred twenty-nine million, seven hundred seventy-eight thousand, two hundred fifty-six".