412753064256 has 672 divisors, whose sum is σ = 1370809958400. Its totient is φ = 121596733440.

The previous prime is 412753064237. The next prime is 412753064261. The reversal of 412753064256 is 652460357214.

412753064256 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 530 + 64 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1149729805 + ... + 1149730163.

Almost surely, 2^412753064256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412753064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685404979200).

412753064256 is an abundant number, since it is smaller than the sum of its proper divisors (958056894144).

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

412753064256 is a wasteful number, since it uses less digits than its factorization.

412753064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 412753064256 in words is "four hundred twelve billion, seven hundred fifty-three million, sixty-four thousand, two hundred fifty-six".