431975001216 has 384 divisors, whose sum is σ = 1322689112640. Its totient is φ = 123857141760.

The previous prime is 431975001209. The next prime is 431975001233. The reversal of 431975001216 is 612100579134.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216745116 + ... + 216747108.

Almost surely, 2^431975001216 is an apocalyptic number.

431975001216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431975001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661344556320).

431975001216 is an abundant number, since it is smaller than the sum of its proper divisors (890714111424).

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

431975001216 is a wasteful number, since it uses less digits than its factorization.

431975001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 431975001216 in words is "four hundred thirty-one billion, nine hundred seventy-five million, one thousand, two hundred sixteen".