412373564064 has 432 divisors, whose sum is σ = 1476213560640. Its totient is φ = 106885785600.

The previous prime is 412373564033. The next prime is 412373564077. The reversal of 412373564064 is 460465373214.

412373564064 is a `hidden beast` number, since 4 + 1 + 23 + 7 + 3 + 564 + 0 + 64 = 666.

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 71 ways as a sum of consecutive naturals, for example, 138798099 + ... + 138801069.

It is an arithmetic number, because the mean of its divisors is an integer number (3417161020).

Almost surely, 2^412373564064 is an apocalyptic number.

412373564064 is a gapful number since it is divisible by the number (44) 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 412373564064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738106780320).

412373564064 is an abundant number, since it is smaller than the sum of its proper divisors (1063839996576).

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

412373564064 is a wasteful number, since it uses less digits than its factorization.

412373564064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 412373564064 in words is "four hundred twelve billion, three hundred seventy-three million, five hundred sixty-four thousand, sixty-four".