12904016400 has 360 divisors, whose sum is σ = 50177484864. Its totient is φ = 3043353600.

The previous prime is 12904016357. The next prime is 12904016423. The reversal of 12904016400 is 461040921.

12904016400 is a `hidden beast` number, since 12 + 9 + 0 + 4 + 0 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1460797 + ... + 1469603.

Almost surely, 2^12904016400 is an apocalyptic number.

12904016400 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 12904016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25088742432).

12904016400 is an abundant number, since it is smaller than the sum of its proper divisors (37273468464).

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

12904016400 is a wasteful number, since it uses less digits than its factorization.

12904016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8879 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12904016400 in words is "twelve billion, nine hundred four million, sixteen thousand, four hundred".