398668804992 has 768 divisors, whose sum is σ = 1347671001600. Its totient is φ = 115398328320.

The previous prime is 398668804981. The next prime is 398668804993. The reversal of 398668804992 is 299408866893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 398668804992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398668804993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1298595303 + ... + 1298595609.

It is an arithmetic number, because the mean of its divisors is an integer number (1754779950).

Almost surely, 2^398668804992 is an apocalyptic number.

398668804992 is a gapful number since it is divisible by the number (32) 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 398668804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673835500800).

398668804992 is an abundant number, since it is smaller than the sum of its proper divisors (949002196608).

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

398668804992 is a wasteful number, since it uses less digits than its factorization.

398668804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 398668804992 in words is "three hundred ninety-eight billion, six hundred sixty-eight million, eight hundred four thousand, nine hundred ninety-two".