398391644160 has 1040 divisors, whose sum is σ = 1510167724032. Its totient is φ = 100329062400.

The previous prime is 398391644153. The next prime is 398391644171. The reversal of 398391644160 is 61446193893.

398391644160 is a `hidden beast` number, since 3 + 9 + 83 + 91 + 64 + 416 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 398391644097 and 398391644106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3136942017 + ... + 3136942143.

Almost surely, 2^398391644160 is an apocalyptic number.

398391644160 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 398391644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755083862016).

398391644160 is an abundant number, since it is smaller than the sum of its proper divisors (1111776079872).

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

398391644160 is a wasteful number, since it uses less digits than its factorization.

398391644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 398391644160 in words is "three hundred ninety-eight billion, three hundred ninety-one million, six hundred forty-four thousand, one hundred sixty".