431333400480 has 96 divisors (see below), whose sum is σ = 1430210779200. Its totient is φ = 108968435712.

The previous prime is 431333400469. The next prime is 431333400551. The reversal of 431333400480 is 84004333134.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23638545 + ... + 23656784.

It is an arithmetic number, because the mean of its divisors is an integer number (14898028950).

Almost surely, 2^431333400480 is an apocalyptic number.

431333400480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431333400480 is an abundant number, since it is smaller than the sum of its proper divisors (998877378720).

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

431333400480 is a wasteful number, since it uses less digits than its factorization.

431333400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47295366 (or 47295358 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 431333400480 in words is "four hundred thirty-one billion, three hundred thirty-three million, four hundred thousand, four hundred eighty".