375404613120 has 320 divisors, whose sum is σ = 1364490167040. Its totient is φ = 97779032064.

The previous prime is 375404613091. The next prime is 375404613167. The reversal of 375404613120 is 21316404573.

375404613120 is a `hidden beast` number, since 3 + 7 + 540 + 4 + 61 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×375404613120² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2909007 + ... + 3035313.

It is an arithmetic number, because the mean of its divisors is an integer number (4264031772).

Almost surely, 2^375404613120 is an apocalyptic number.

375404613120 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 375404613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682245083520).

375404613120 is an abundant number, since it is smaller than the sum of its proper divisors (989085553920).

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

375404613120 is a wasteful number, since it uses less digits than its factorization.

375404613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126382 (or 126360 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 375404613120 in words is "three hundred seventy-five billion, four hundred four million, six hundred thirteen thousand, one hundred twenty".