412076810563488 has 960 divisors, whose sum is σ = 1483146062576640. Its totient is φ = 109618404876288.

The previous prime is 412076810563477. The next prime is 412076810563511. The reversal of 412076810563488 is 884365018670214.

412076810563488 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 7 + 68 + 1 + 0 + 563 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×412076810563488² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10001115495 + ... + 10001156697.

It is an arithmetic number, because the mean of its divisors is an integer number (1544943815184).

Almost surely, 2^{412076810563488} is an apocalyptic number.

412076810563488 is a gapful number since it is divisible by the number (48) 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 412076810563488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741573031288320).

412076810563488 is an abundant number, since it is smaller than the sum of its proper divisors (1071069252013152).

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

412076810563488 is a wasteful number, since it uses less digits than its factorization.

412076810563488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41751 (or 41734 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 412076810563488 in words is "four hundred twelve trillion, seventy-six billion, eight hundred ten million, five hundred sixty-three thousand, four hundred eighty-eight".