376506455040 has 616 divisors, whose sum is σ = 1365243784200. Its totient is φ = 99580575744.

The previous prime is 376506454999. The next prime is 376506455081. The reversal of 376506455040 is 40554605673.

376506455040 is a `hidden beast` number, since 3 + 7 + 6 + 50 + 6 + 4 + 550 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (376506454999) and next prime (376506455081).

It can be written as a sum of positive squares in 4 ways, for example, as 73601519616 + 302904935424 = 271296^2 + 550368^2 .

It is a super-2 number, since 2×376506455040² (a number of 24 digits) contains 22 as substring.

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 55 ways as a sum of consecutive naturals, for example, 556139182 + ... + 556139858.

Almost surely, 2^376506455040 is an apocalyptic number.

376506455040 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 376506455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682621892100).

376506455040 is an abundant number, since it is smaller than the sum of its proper divisors (988737329160).

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

376506455040 is an equidigital number, since it uses as much as digits as its factorization.

376506455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 376506455040 in words is "three hundred seventy-six billion, five hundred six million, four hundred fifty-five thousand, forty".