12409083904 has 192 divisors, whose sum is σ = 30569011200. Its totient is φ = 4914806784.

The previous prime is 12409083881. The next prime is 12409083979. The reversal of 12409083904 is 40938090421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14378577 + ... + 14379439.

It is an arithmetic number, because the mean of its divisors is an integer number (159213600).

Almost surely, 2^12409083904 is an apocalyptic number.

12409083904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12409083904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

12409083904 is an abundant number, since it is smaller than the sum of its proper divisors (18159927296).

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

12409083904 is an equidigital number, since it uses as much as digits as its factorization.

12409083904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 12409083904 in words is "twelve billion, four hundred nine million, eighty-three thousand, nine hundred four".