398558344215024 has 640 divisors, whose sum is σ = 1332664018329600. Its totient is φ = 111686177894400.

The previous prime is 398558344215019. The next prime is 398558344215067. The reversal of 398558344215024 is 420512443855893.

398558344215024 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 5 + 83 + 4 + 42 + 1 + 502 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 274678389499 + ... + 274678390949.

It is an arithmetic number, because the mean of its divisors is an integer number (2082287528640).

Almost surely, 2^{398558344215024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398558344215024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666332009164800).

398558344215024 is an abundant number, since it is smaller than the sum of its proper divisors (934105674114576).

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

398558344215024 is a wasteful number, since it uses less digits than its factorization.

398558344215024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4018 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 398558344215024 in words is "three hundred ninety-eight trillion, five hundred fifty-eight billion, three hundred forty-four million, two hundred fifteen thousand, twenty-four".