13440209904 has 80 divisors (see below), whose sum is σ = 42085520640. Its totient is φ = 4072789440.

The previous prime is 13440209863. The next prime is 13440209921. The reversal of 13440209904 is 40990204431.

13440209904 is a `hidden beast` number, since 1 + 3 + 440 + 209 + 9 + 0 + 4 = 666.

It is a super-4 number, since 4×13440209904⁴ (a number of 42 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409412 + ... + 1418915.

It is an arithmetic number, because the mean of its divisors is an integer number (526069008).

Almost surely, 2^13440209904 is an apocalyptic number.

It is an amenable number.

13440209904 is an abundant number, since it is smaller than the sum of its proper divisors (28645310736).

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

13440209904 is a wasteful number, since it uses less digits than its factorization.

13440209904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828355 (or 2828343 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13440209904 in words is "thirteen billion, four hundred forty million, two hundred nine thousand, nine hundred four".