397629509414688 has 72 divisors (see below), whose sum is σ = 1130908871714076. Its totient is φ = 132525592742400.

The previous prime is 397629509414677. The next prime is 397629509414713. The reversal of 397629509414688 is 886414905926793.

It is a happy number.

397629509414688 is a `hidden beast` number, since 3 + 9 + 7 + 6 + 2 + 9 + 509 + 41 + 4 + 68 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384642625086864 + 12986884327824 = 19612308^2 + 3603732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89371623 + ... + 93715238.

It is a 1-persistent number, because it is pandigital, but 2⋅397629509414688 = 795259018829376 is not.

Almost surely, 2^{397629509414688} is an apocalyptic number.

It is an amenable number.

397629509414688 is an abundant number, since it is smaller than the sum of its proper divisors (733279362299388).

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

397629509414688 is a wasteful number, since it uses less digits than its factorization.

397629509414688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183094418 (or 183094407 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 397629509414688 in words is "three hundred ninety-seven trillion, six hundred twenty-nine billion, five hundred nine million, four hundred fourteen thousand, six hundred eighty-eight".