13821374096640 has 288 divisors, whose sum is σ = 53505472406400. Its totient is φ = 3350636052480.

The previous prime is 13821374096623. The next prime is 13821374096701. The reversal of 13821374096640 is 4669047312831.

13821374096640 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 137 + 409 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17798205 + ... + 18558524.

It is an arithmetic number, because the mean of its divisors is an integer number (185782890300).

Almost surely, 2^{13821374096640} is an apocalyptic number.

13821374096640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13821374096640 is an abundant number, since it is smaller than the sum of its proper divisors (39684098309760).

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

13821374096640 is a wasteful number, since it uses less digits than its factorization.

13821374096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36356770 (or 36356750 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13821374096640 in words is "thirteen trillion, eight hundred twenty-one billion, three hundred seventy-four million, ninety-six thousand, six hundred forty".