12904099040 has 192 divisors, whose sum is σ = 36050313600. Its totient is φ = 4362301440.

The previous prime is 12904099007. The next prime is 12904099069. The reversal of 12904099040 is 4099040921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12904098985 and 12904099003.

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 31 ways as a sum of consecutive naturals, for example, 4004630 + ... + 4007850.

It is an arithmetic number, because the mean of its divisors is an integer number (187762050).

Almost surely, 2^12904099040 is an apocalyptic number.

12904099040 is a gapful number since it is divisible by the number (10) 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 12904099040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18025156800).

12904099040 is an abundant number, since it is smaller than the sum of its proper divisors (23146214560).

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

12904099040 is an equidigital number, since it uses as much as digits as its factorization.

12904099040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 12904099040 in words is "twelve billion, nine hundred four million, ninety-nine thousand, forty".