12631917781440 has 280 divisors, whose sum is σ = 44938627826400. Its totient is φ = 3368161032192.

The previous prime is 12631917781429. The next prime is 12631917781463. The reversal of 12631917781440 is 4418771913621.

12631917781440 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 191 + 7 + 7 + 8 + 1 + 440 = 666.

12631917781440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334167661 + ... + 334205459.

It is an arithmetic number, because the mean of its divisors is an integer number (160495099380).

Almost surely, 2^{12631917781440} is an apocalyptic number.

12631917781440 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 12631917781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469313913200).

12631917781440 is an abundant number, since it is smaller than the sum of its proper divisors (32306710044960).

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

12631917781440 is a wasteful number, since it uses less digits than its factorization.

12631917781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50721 (or 50702 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 12631917781440 in words is "twelve trillion, six hundred thirty-one billion, nine hundred seventeen million, seven hundred eighty-one thousand, four hundred forty".