13427641275840 has 2016 divisors, whose sum is σ = 56019295388160. Its totient is φ = 2923374182400.

The previous prime is 13427641275833. The next prime is 13427641275889. The reversal of 13427641275840 is 4857214672431.

13427641275840 is a `hidden beast` number, since 1 + 3 + 42 + 7 + 6 + 4 + 12 + 7 + 584 + 0 = 666.

13427641275840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27347537995 + ... + 27347538485.

Almost surely, 2^{13427641275840} is an apocalyptic number.

13427641275840 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 13427641275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009647694080).

13427641275840 is an abundant number, since it is smaller than the sum of its proper divisors (42591654112320).

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

13427641275840 is a wasteful number, since it uses less digits than its factorization.

13427641275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 13427641275840 in words is "thirteen trillion, four hundred twenty-seven billion, six hundred forty-one million, two hundred seventy-five thousand, eight hundred forty".