398560916880 has 640 divisors, whose sum is σ = 1589383987200. Its totient is φ = 89919922176.

The previous prime is 398560916869. The next prime is 398560916927. The reversal of 398560916880 is 88619065893.

398560916880 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 609 + 16 + 8 + 8 + 0 = 666.

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

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, 818399997 + ... + 818400483.

It is an arithmetic number, because the mean of its divisors is an integer number (2483412480).

Almost surely, 2^398560916880 is an apocalyptic number.

398560916880 is a gapful number since it is divisible by the number (30) 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 398560916880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794691993600).

398560916880 is an abundant number, since it is smaller than the sum of its proper divisors (1190823070320).

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

398560916880 is a wasteful number, since it uses less digits than its factorization.

398560916880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 398560916880 in words is "three hundred ninety-eight billion, five hundred sixty million, nine hundred sixteen thousand, eight hundred eighty".