398405114624 has 72 divisors (see below), whose sum is σ = 867824898192. Its totient is φ = 181035806720.

The previous prime is 398405114593. The next prime is 398405114633. The reversal of 398405114624 is 426411504893.

It is a super-2 number, since 2×398405114624² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9590282 + ... + 9631734.

It is an arithmetic number, because the mean of its divisors is an integer number (12053123586).

Almost surely, 2^398405114624 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 398405114624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433912449096).

398405114624 is an abundant number, since it is smaller than the sum of its proper divisors (469419783568).

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

398405114624 is a wasteful number, since it uses less digits than its factorization.

398405114624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44893 (or 44879 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The spelling of 398405114624 in words is "three hundred ninety-eight billion, four hundred five million, one hundred fourteen thousand, six hundred twenty-four".