375142440960 has 1120 divisors, whose sum is σ = 1592852247360. Its totient is φ = 82641420288.

The previous prime is 375142440923. The next prime is 375142440971. The reversal of 375142440960 is 69044241573.

375142440960 is a `hidden beast` number, since 3 + 7 + 5 + 142 + 440 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 673505002 + ... + 673505558.

Almost surely, 2^375142440960 is an apocalyptic number.

375142440960 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 375142440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796426123680).

375142440960 is an abundant number, since it is smaller than the sum of its proper divisors (1217709806400).

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

375142440960 is an equidigital number, since it uses as much as digits as its factorization.

375142440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 375142440960 in words is "three hundred seventy-five billion, one hundred forty-two million, four hundred forty thousand, nine hundred sixty".