412564705344 has 315 divisors, whose sum is σ = 1345916989263. Its totient is φ = 124865452800.

The previous prime is 412564705337. The next prime is 412564705367. The reversal of 412564705344 is 443507465214.

The square root of 412564705344 is 642312.

It is a perfect power (a square), and thus also a powerful number.

412564705344 is a `hidden beast` number, since 4 + 12 + 564 + 70 + 5 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412564705344.

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 44 ways as a sum of consecutive naturals, for example, 508710699 + ... + 508711509.

Almost surely, 2^412564705344 is an apocalyptic number.

412564705344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

412564705344 is the 642312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412564705344

412564705344 is an abundant number, since it is smaller than the sum of its proper divisors (933352283919).

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

412564705344 is an frugal number, since it uses more digits than its factorization.

412564705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 412564705344 in words is "four hundred twelve billion, five hundred sixty-four million, seven hundred five thousand, three hundred forty-four".