398592685088640 has 1024 divisors, whose sum is σ = 1660538444544000. Its totient is φ = 88463292825600.

The previous prime is 398592685088629. The next prime is 398592685088677. The reversal of 398592685088640 is 46880586295893.

398592685088640 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 9 + 2 + 68 + 508 + 8 + 6 + 40 = 666.

It is a super-2 number, since 2×398592685088640² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 398592685088640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1046234506 + ... + 1046615414.

It is an arithmetic number, because the mean of its divisors is an integer number (1621619574750).

Almost surely, 2^{398592685088640} is an apocalyptic number.

398592685088640 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 398592685088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830269222272000).

398592685088640 is an abundant number, since it is smaller than the sum of its proper divisors (1261945759455360).

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

398592685088640 is a wasteful number, since it uses less digits than its factorization.

398592685088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381196 (or 381178 counting only the distinct ones).

The product of its (nonzero) digits is 7166361600, while the sum is 81.

The spelling of 398592685088640 in words is "three hundred ninety-eight trillion, five hundred ninety-two billion, six hundred eighty-five million, eighty-eight thousand, six hundred forty".