409111004160 has 132 divisors (see below), whose sum is σ = 1417559135148. Its totient is φ = 109096255488.

The previous prime is 409111004119. The next prime is 409111004167. The reversal of 409111004160 is 61400111904.

It can be written as a sum of positive squares in 2 ways, for example, as 58154287104 + 350956717056 = 241152^2 + 592416^2 .

It is not an unprimeable number, because it can be changed into a prime (409111004167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4393059 + ... + 4485218.

Almost surely, 2^409111004160 is an apocalyptic number.

409111004160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409111004160 is an abundant number, since it is smaller than the sum of its proper divisors (1008448130988).

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

409111004160 is a wasteful number, since it uses less digits than its factorization.

409111004160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878308 (or 8878287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 409111004160 in words is "four hundred nine billion, one hundred eleven million, four thousand, one hundred sixty".