12643313604400 has 120 divisors (see below), whose sum is σ = 30870027160064. Its totient is φ = 4975201440000.

The previous prime is 12643313604367. The next prime is 12643313604431. The reversal of 12643313604400 is 440631334621.

It is a super-2 number, since 2×12643313604400² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12643313604400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19812709 + ... + 20440891.

Almost surely, 2^{12643313604400} is an apocalyptic number.

12643313604400 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 12643313604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435013580032).

12643313604400 is an abundant number, since it is smaller than the sum of its proper divisors (18226713555664).

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

12643313604400 is a wasteful number, since it uses less digits than its factorization.

12643313604400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629019 (or 629008 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 12643313604400 in words is "twelve trillion, six hundred forty-three billion, three hundred thirteen million, six hundred four thousand, four hundred".