13481439868440 has 320 divisors, whose sum is σ = 47716961292000. Its totient is φ = 3404447262720.

The previous prime is 13481439868417. The next prime is 13481439868453. The reversal of 13481439868440 is 4486893418431.

13481439868440 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 43 + 98 + 68 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 155149326 + ... + 155236194.

Almost surely, 2^{13481439868440} is an apocalyptic number.

13481439868440 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 13481439868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23858480646000).

13481439868440 is an abundant number, since it is smaller than the sum of its proper divisors (34235521423560).

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

13481439868440 is a wasteful number, since it uses less digits than its factorization.

13481439868440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89432 (or 89419 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 13481439868440 in words is "thirteen trillion, four hundred eighty-one billion, four hundred thirty-nine million, eight hundred sixty-eight thousand, four hundred forty".