13840460956729 has 9 divisors (see below), whose sum is σ = 15213113636581. Its totient is φ = 12582200030620.

The previous prime is 13840460956711. The next prime is 13840460956753. The reversal of 13840460956729 is 92765906404831.

The square root of 13840460956729 is 3720277.

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

It is not a de Polignac number, because 13840460956729 - 2³⁵ = 13806101218361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13840460956129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40753944 + ... + 41092150.

It is a 2-persistent number, because it is pandigital, and so is 2⋅13840460956729 = 27680921913458, but 3⋅13840460956729 = 41521382870187 is not.

Almost surely, 2^{13840460956729} is an apocalyptic number.

13840460956729 is the 3720277-th square number.

13840460956729 is the 1860139-th centered octagonal number.

It is an amenable number.

13840460956729 is a deficient number, since it is larger than the sum of its proper divisors (1372652679852).

13840460956729 is an frugal number, since it uses more digits than its factorization.

13840460956729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676436 (or 338218 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

Multiplying 13840460956729 by its sum of digits (64), we get a square (885789501230656 = 29762216²).

The spelling of 13840460956729 in words is "thirteen trillion, eight hundred forty billion, four hundred sixty million, nine hundred fifty-six thousand, seven hundred twenty-nine".