398589024096 has 192 divisors, whose sum is σ = 1172125080000. Its totient is φ = 131773464576.

The previous prime is 398589024059. The next prime is 398589024139. The reversal of 398589024096 is 690420985893.

398589024096 is a `hidden beast` number, since 3 + 9 + 8 + 589 + 0 + 2 + 40 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53219520 + ... + 53227008.

It is an arithmetic number, because the mean of its divisors is an integer number (6104818125).

Almost surely, 2^398589024096 is an apocalyptic number.

398589024096 is a gapful number since it is divisible by the number (36) 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 398589024096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586062540000).

398589024096 is an abundant number, since it is smaller than the sum of its proper divisors (773536055904).

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

398589024096 is a wasteful number, since it uses less digits than its factorization.

398589024096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 398589024096 in words is "three hundred ninety-eight billion, five hundred eighty-nine million, twenty-four thousand, ninety-six".