412376751360 has 864 divisors, whose sum is σ = 1659801911040. Its totient is φ = 92589391872.

The previous prime is 412376751359. The next prime is 412376751377. The reversal of 412376751360 is 63157673214.

412376751360 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 76 + 7 + 513 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1800771726 + ... + 1800771954.

Almost surely, 2^412376751360 is an apocalyptic number.

412376751360 is a gapful number since it is divisible by the number (40) 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 412376751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829900955520).

412376751360 is an abundant number, since it is smaller than the sum of its proper divisors (1247425159680).

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

412376751360 is a wasteful number, since it uses less digits than its factorization.

412376751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 412376751360 in words is "four hundred twelve billion, three hundred seventy-six million, seven hundred fifty-one thousand, three hundred sixty".