398625841152 has 672 divisors, whose sum is σ = 1465977052800. Its totient is φ = 103466926080.

The previous prime is 398625841099. The next prime is 398625841309. The reversal of 398625841152 is 251148526893.

398625841152 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 2 + 584 + 1 + 1 + 52 = 666.

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

It is a super-2 number, since 2×398625841152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278175028 + ... + 278176460.

Almost surely, 2^398625841152 is an apocalyptic number.

398625841152 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 398625841152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732988526400).

398625841152 is an abundant number, since it is smaller than the sum of its proper divisors (1067351211648).

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

398625841152 is a wasteful number, since it uses less digits than its factorization.

398625841152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1456 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 398625841152 in words is "three hundred ninety-eight billion, six hundred twenty-five million, eight hundred forty-one thousand, one hundred fifty-two".