359920130400 has 252 divisors, whose sum is σ = 1317382018092. Its totient is φ = 95978545920.

The previous prime is 359920130393. The next prime is 359920130411. The reversal of 359920130400 is 4031029953.

It is a happy number.

359920130400 is a `hidden beast` number, since 3 + 599 + 20 + 1 + 3 + 0 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 274627 + ... + 891773.

It is an arithmetic number, because the mean of its divisors is an integer number (5227706421).

Almost surely, 2^359920130400 is an apocalyptic number.

359920130400 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 359920130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658691009046).

359920130400 is an abundant number, since it is smaller than the sum of its proper divisors (957461887692).

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

359920130400 is an equidigital number, since it uses as much as digits as its factorization.

359920130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617185 (or 617157 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 359920130400 in words is "three hundred fifty-nine billion, nine hundred twenty million, one hundred thirty thousand, four hundred".