412036461216 has 144 divisors (see below), whose sum is σ = 1176097418496. Its totient is φ = 136834242048.

The previous prime is 412036461139. The next prime is 412036461247. The reversal of 412036461216 is 612164630214.

412036461216 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 3 + 646 + 1 + 2 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170050981 + ... + 170053403.

It is an arithmetic number, because the mean of its divisors is an integer number (8167343184).

Almost surely, 2^412036461216 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 412036461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588048709248).

412036461216 is an abundant number, since it is smaller than the sum of its proper divisors (764060957280).

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

412036461216 is a wasteful number, since it uses less digits than its factorization.

412036461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4395 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 412036461216 in words is "four hundred twelve billion, thirty-six million, four hundred sixty-one thousand, two hundred sixteen".