12800117440 has 224 divisors, whose sum is σ = 35337902400. Its totient is φ = 4371333120.

The previous prime is 12800117431. The next prime is 12800117471. The reversal of 12800117440 is 4471100821.

12800117440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12800117399 and 12800117408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775266 + ... + 3778654.

Almost surely, 2^12800117440 is an apocalyptic number.

12800117440 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 12800117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17668951200).

12800117440 is an abundant number, since it is smaller than the sum of its proper divisors (22537784960).

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

12800117440 is a wasteful number, since it uses less digits than its factorization.

12800117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 12800117440 in words is "twelve billion, eight hundred million, one hundred seventeen thousand, four hundred forty".