13738392944640 has 2240 divisors, whose sum is σ = 61613931456000. Its totient is φ = 2861958168576.

The previous prime is 13738392944449. The next prime is 13738392944659. The reversal of 13738392944640 is 4644929383731.

It is a happy number.

13738392944640 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 83 + 9 + 2 + 94 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 173903708121 + ... + 173903708199.

It is an arithmetic number, because the mean of its divisors is an integer number (27506219400).

Almost surely, 2^{13738392944640} is an apocalyptic number.

13738392944640 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 13738392944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30806965728000).

13738392944640 is an abundant number, since it is smaller than the sum of its proper divisors (47875538511360).

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

13738392944640 is an frugal number, since it uses more digits than its factorization.

13738392944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 13738392944640 in words is "thirteen trillion, seven hundred thirty-eight billion, three hundred ninety-two million, nine hundred forty-four thousand, six hundred forty".