13721494816440 has 128 divisors (see below), whose sum is σ = 46087463980800. Its totient is φ = 3631133450880.

The previous prime is 13721494816391. The next prime is 13721494816511. The reversal of 13721494816440 is 4461849412731.

It is a happy number.

13721494816440 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 149 + 48 + 16 + 440 = 666.

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, 48351222 + ... + 48634181.

It is an arithmetic number, because the mean of its divisors is an integer number (360058312350).

Almost surely, 2^{13721494816440} is an apocalyptic number.

13721494816440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13721494816440 is an abundant number, since it is smaller than the sum of its proper divisors (32365969164360).

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

13721494816440 is a wasteful number, since it uses less digits than its factorization.

13721494816440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96985554 (or 96985544 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13721494816440 in words is "thirteen trillion, seven hundred twenty-one billion, four hundred ninety-four million, eight hundred sixteen thousand, four hundred forty".