13408659753840 has 320 divisors, whose sum is σ = 49844659737600. Its totient is φ = 3293522297856.

The previous prime is 13408659753821. The next prime is 13408659753857. The reversal of 13408659753840 is 4835795680431.

13408659753840 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 8 + 6 + 5 + 97 + 538 + 4 + 0 = 666.

13408659753840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12602101 + ... + 13624619.

It is an arithmetic number, because the mean of its divisors is an integer number (155764561680).

Almost surely, 2^{13408659753840} is an apocalyptic number.

13408659753840 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 13408659753840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24922329868800).

13408659753840 is an abundant number, since it is smaller than the sum of its proper divisors (36435999983760).

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

13408659753840 is a wasteful number, since it uses less digits than its factorization.

13408659753840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023021 (or 1023009 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 13408659753840 in words is "thirteen trillion, four hundred eight billion, six hundred fifty-nine million, seven hundred fifty-three thousand, eight hundred forty".