12634612430400 has 567 divisors, whose sum is σ = 47424704650401. Its totient is φ = 3189854684160.

The previous prime is 12634612430327. The next prime is 12634612430411. The reversal of 12634612430400 is 403421643621.

The square root of 12634612430400 is 3554520.

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

12634612430400 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 6 + 1 + 243 + 0 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4548460474944 + 8086151955456 = 2132712^2 + 2843616^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8104304821 + ... + 8104306379.

Almost surely, 2^{12634612430400} is an apocalyptic number.

12634612430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12634612430400 is the 3554520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12634612430400

12634612430400 is an abundant number, since it is smaller than the sum of its proper divisors (34790092220001).

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

12634612430400 is an equidigital number, since it uses as much as digits as its factorization.

12634612430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 12634612430400 by its sum of digits (36), we get a square (454846047494400 = 21327120²).

12634612430400 divided by its sum of digits (36) gives a square (350961456400 = 592420²).

The spelling of 12634612430400 in words is "twelve trillion, six hundred thirty-four billion, six hundred twelve million, four hundred thirty thousand, four hundred".