13979720391840 has 1440 divisors, whose sum is σ = 61020361100160. Its totient is φ = 2998601109504.

The previous prime is 13979720391821. The next prime is 13979720391851. The reversal of 13979720391840 is 4819302797931.

13979720391840 is a `hidden beast` number, since 1 + 39 + 79 + 72 + 0 + 391 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 774104731 + ... + 774122789.

It is an arithmetic number, because the mean of its divisors is an integer number (42375250764).

Almost surely, 2^{13979720391840} is an apocalyptic number.

13979720391840 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 13979720391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30510180550080).

13979720391840 is an abundant number, since it is smaller than the sum of its proper divisors (47040640708320).

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

13979720391840 is a wasteful number, since it uses less digits than its factorization.

13979720391840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176 (or 18152 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 13979720391840 in words is "thirteen trillion, nine hundred seventy-nine billion, seven hundred twenty million, three hundred ninety-one thousand, eight hundred forty".