412432746624 has 160 divisors (see below), whose sum is σ = 1248198296400. Its totient is φ = 135147253248.

The previous prime is 412432746623. The next prime is 412432746647. The reversal of 412432746624 is 426647234214.

412432746624 is a `hidden beast` number, since 4 + 12 + 4 + 3 + 2 + 7 + 4 + 6 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412432746624.

It is not an unprimeable number, because it can be changed into a prime (412432746623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 274599 + ... + 948825.

Almost surely, 2^412432746624 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 412432746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624099148200).

412432746624 is an abundant number, since it is smaller than the sum of its proper divisors (835765549776).

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

412432746624 is an equidigital number, since it uses as much as digits as its factorization.

412432746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674312 (or 674291 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 412432746624 in words is "four hundred twelve billion, four hundred thirty-two million, seven hundred forty-six thousand, six hundred twenty-four".