431242288512 has 64 divisors (see below), whose sum is σ = 1309128384000. Its totient is φ = 123212081664.

The previous prime is 431242288439. The next prime is 431242288541. The reversal of 431242288512 is 215882242134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×431242288512² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80213512 + ... + 80218887.

It is an arithmetic number, because the mean of its divisors is an integer number (20455131000).

Almost surely, 2^431242288512 is an apocalyptic number.

431242288512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

431242288512 is an abundant number, since it is smaller than the sum of its proper divisors (877886095488).

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

431242288512 is a wasteful number, since it uses less digits than its factorization.

431242288512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160432423 (or 160432411 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The spelling of 431242288512 in words is "four hundred thirty-one billion, two hundred forty-two million, two hundred eighty-eight thousand, five hundred twelve".