12900416400 has 225 divisors, whose sum is σ = 46372048833. Its totient is φ = 3434659200.

The previous prime is 12900416393. The next prime is 12900416429. The reversal of 12900416400 is 461400921.

The square root of 12900416400 is 113580.

It is a perfect power (a square), and thus also a powerful number.

12900416400 is a `hidden beast` number, since 12 + 9 + 0 + 0 + 4 + 1 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4644149904 + 8256266496 = 68148^2 + 90864^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20444085 + ... + 20444715.

Almost surely, 2^12900416400 is an apocalyptic number.

12900416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12900416400 is the 113580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12900416400

12900416400 is an abundant number, since it is smaller than the sum of its proper divisors (33471632433).

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

12900416400 is an frugal number, since it uses more digits than its factorization.

12900416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 641 counting only the distinct ones).

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

The spelling of 12900416400 in words is "twelve billion, nine hundred million, four hundred sixteen thousand, four hundred".