407216551464 has 96 divisors (see below), whose sum is σ = 1172853513000. Its totient is φ = 127196246016.

The previous prime is 407216551439. The next prime is 407216551487. The reversal of 407216551464 is 464155612704.

407216551464 is a `hidden beast` number, since 4 + 0 + 72 + 1 + 6 + 5 + 514 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 349884080100 + 57332471364 = 591510^2 + 239442^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446109 + ... + 1006700.

Almost surely, 2^407216551464 is an apocalyptic number.

It is an amenable number.

407216551464 is an abundant number, since it is smaller than the sum of its proper divisors (765636961536).

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

407216551464 is a wasteful number, since it uses less digits than its factorization.

407216551464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453067 (or 1453060 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 407216551464 in words is "four hundred seven billion, two hundred sixteen million, five hundred fifty-one thousand, four hundred sixty-four".