412812013824 has 648 divisors, whose sum is σ = 1465945353600. Its totient is φ = 111661369344.

The previous prime is 412812013819. The next prime is 412812013879. The reversal of 412812013824 is 428310218214.

412812013824 is a `hidden beast` number, since 412 + 8 + 1 + 201 + 38 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 285287469 + ... + 285288915.

Almost surely, 2^412812013824 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 412812013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732972676800).

412812013824 is an abundant number, since it is smaller than the sum of its proper divisors (1053133339776).

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

412812013824 is a wasteful number, since it uses less digits than its factorization.

412812013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 412812013824 in words is "four hundred twelve billion, eight hundred twelve million, thirteen thousand, eight hundred twenty-four".