398428652595456 has 324 divisors, whose sum is σ = 1340359345385424. Its totient is φ = 113492829542400.

The previous prime is 398428652595431. The next prime is 398428652595503. The reversal of 398428652595456 is 654595256824893.

398428652595456 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 2 + 8 + 65 + 2 + 5 + 9 + 545 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32037511 + ... + 42699641.

Almost surely, 2^{398428652595456} is an apocalyptic number.

398428652595456 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 398428652595456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670179672692712).

398428652595456 is an abundant number, since it is smaller than the sum of its proper divisors (941930692789968).

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

398428652595456 is a wasteful number, since it uses less digits than its factorization.

398428652595456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10662498 (or 10662474 counting only the distinct ones).

The product of its digits is 22394880000, while the sum is 81.

The spelling of 398428652595456 in words is "three hundred ninety-eight trillion, four hundred twenty-eight billion, six hundred fifty-two million, five hundred ninety-five thousand, four hundred fifty-six".