355920398400 has 840 divisors, whose sum is σ = 1381529835360. Its totient is φ = 80207339520.

The previous prime is 355920398377. The next prime is 355920398411. The reversal of 355920398400 is 4893029553.

It is a tau number, because it is divible by the number of its divisors (840).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 355920398400.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1025707027 + ... + 1025707373.

Almost surely, 2^355920398400 is an apocalyptic number.

355920398400 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 355920398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690764917680).

355920398400 is an abundant number, since it is smaller than the sum of its proper divisors (1025609436960).

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

355920398400 is an equidigital number, since it uses as much as digits as its factorization.

355920398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 355920398400 in words is "three hundred fifty-five billion, nine hundred twenty million, three hundred ninety-eight thousand, four hundred".