13287134881440 has 720 divisors, whose sum is σ = 55376329954176. Its totient is φ = 2939070458880.

The previous prime is 13287134881421. The next prime is 13287134881457. The reversal of 13287134881440 is 4418843178231.

13287134881440 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 7 + 13 + 488 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87105717 + ... + 87258123.

Almost surely, 2^{13287134881440} is an apocalyptic number.

13287134881440 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 13287134881440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27688164977088).

13287134881440 is an abundant number, since it is smaller than the sum of its proper divisors (42089195072736).

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

13287134881440 is a wasteful number, since it uses less digits than its factorization.

13287134881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152503 (or 152455 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 13287134881440 in words is "thirteen trillion, two hundred eighty-seven billion, one hundred thirty-four million, eight hundred eighty-one thousand, four hundred forty".