398356358400 has 3456 divisors, whose sum is σ = 2043869184000. Its totient is φ = 74782310400.

The previous prime is 398356358359. The next prime is 398356358419. The reversal of 398356358400 is 4853653893.

It is a happy number.

398356358400 is a `hidden beast` number, since 3 + 9 + 8 + 3 + 56 + 3 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8475667177 + ... + 8475667223.

Almost surely, 2^398356358400 is an apocalyptic number.

398356358400 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 398356358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021934592000).

398356358400 is an abundant number, since it is smaller than the sum of its proper divisors (1645512825600).

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

398356358400 is a wasteful number, since it uses less digits than its factorization.

398356358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 398356358400 in words is "three hundred ninety-eight billion, three hundred fifty-six million, three hundred fifty-eight thousand, four hundred".