13840721377344 has 315 divisors, whose sum is σ = 41412121550877. Its totient is φ = 4570805085696.

The previous prime is 13840721377337. The next prime is 13840721377361. The reversal of 13840721377344 is 44377312704831.

The square root of 13840721377344 is 3720312.

It is a perfect power (a square), and thus also a powerful number.

13840721377344 is a `hidden beast` number, since 1 + 3 + 84 + 0 + 7 + 213 + 7 + 7 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 774752040000 + 13065969337344 = 880200^2 + 3614688^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 43661581474 + ... + 43661581790.

Almost surely, 2^{13840721377344} is an apocalyptic number.

13840721377344 is the 3720312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13840721377344

13840721377344 is an abundant number, since it is smaller than the sum of its proper divisors (27571400173533).

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

13840721377344 is an frugal number, since it uses more digits than its factorization.

13840721377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 13840721377344 in words is "thirteen trillion, eight hundred forty billion, seven hundred twenty-one million, three hundred seventy-seven thousand, three hundred forty-four".