412916292009 has 48 divisors (see below), whose sum is σ = 646083809280. Its totient is φ = 252615438720.

The previous prime is 412916291981. The next prime is 412916292013. The reversal of 412916292009 is 900292619214.

412916292009 is a `hidden beast` number, since 4 + 12 + 9 + 1 + 629 + 2 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 412916292009 - 2⁷ = 412916291881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (412916292809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13921407 + ... + 13951035.

It is an arithmetic number, because the mean of its divisors is an integer number (13460079360).

Almost surely, 2^412916292009 is an apocalyptic number.

It is an amenable number.

412916292009 is a deficient number, since it is larger than the sum of its proper divisors (233167517271).

412916292009 is a wasteful number, since it uses less digits than its factorization.

412916292009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30342 (or 30339 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 412916292009 in words is "four hundred twelve billion, nine hundred sixteen million, two hundred ninety-two thousand, nine".