398419882560 has 672 divisors, whose sum is σ = 1715522664960. Its totient is φ = 82752897024.

The previous prime is 398419882541. The next prime is 398419882561. The reversal of 398419882560 is 65288914893.

398419882560 is a `hidden beast` number, since 3 + 98 + 419 + 8 + 82 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (398419882561) 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, 9918837 + ... + 9958923.

Almost surely, 2^398419882560 is an apocalyptic number.

398419882560 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 398419882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857761332480).

398419882560 is an abundant number, since it is smaller than the sum of its proper divisors (1317102782400).

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

398419882560 is a wasteful number, since it uses less digits than its factorization.

398419882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40163 (or 40150 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 398419882560 in words is "three hundred ninety-eight billion, four hundred nineteen million, eight hundred eighty-two thousand, five hundred sixty".