395818928904960 has 432 divisors, whose sum is σ = 1504896673381920. Its totient is φ = 95255690280960.

The previous prime is 395818928904947. The next prime is 395818928904977. The reversal of 395818928904960 is 69409829818593.

395818928904960 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 18 + 9 + 28 + 90 + 496 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 395818928904960.

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, 5960746 + ... + 28760534.

It is an arithmetic number, because the mean of its divisors is an integer number (3483557114310).

Almost surely, 2^{395818928904960} is an apocalyptic number.

395818928904960 is a gapful number since it is divisible by the number (30) 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 395818928904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752448336690960).

395818928904960 is an abundant number, since it is smaller than the sum of its proper divisors (1109077744476960).

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

395818928904960 is a wasteful number, since it uses less digits than its factorization.

395818928904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22799964 (or 22799947 counting only the distinct ones).

The product of its (nonzero) digits is 2418647040, while the sum is 81.

The spelling of 395818928904960 in words is "three hundred ninety-five trillion, eight hundred eighteen billion, nine hundred twenty-eight million, nine hundred four thousand, nine hundred sixty".