409914591012 has 36 divisors (see below), whose sum is σ = 1036197048796. Its totient is φ = 136635024960.

The previous prime is 409914590977. The next prime is 409914591041. The reversal of 409914591012 is 210195419904.

409914591012 is a `hidden beast` number, since 4 + 0 + 9 + 91 + 459 + 101 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 62468004096 + 347446586916 = 249936^2 + 589446^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1845438 + ... + 2055594.

Almost surely, 2^409914591012 is an apocalyptic number.

It is an amenable number.

409914591012 is an abundant number, since it is smaller than the sum of its proper divisors (626282457784).

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

409914591012 is a wasteful number, since it uses less digits than its factorization.

409914591012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264348 (or 264343 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 409914591012 in words is "four hundred nine billion, nine hundred fourteen million, five hundred ninety-one thousand, twelve".