13410507665296 has 45 divisors (see below), whose sum is σ = 30225189067419. Its totient is φ = 5747316483552.

The previous prime is 13410507665293. The next prime is 13410507665297. The reversal of 13410507665296 is 69256670501431.

It is a happy number.

The square root of 13410507665296 is 3662036.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13410507665293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102471615 + ... + 102602401.

Almost surely, 2^{13410507665296} is an apocalyptic number.

13410507665296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13410507665296 is the 3662036-th square number.

It is an amenable number.

13410507665296 is an abundant number, since it is smaller than the sum of its proper divisors (16814681402123).

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

13410507665296 is an frugal number, since it uses more digits than its factorization.

13410507665296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261596 (or 130796 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 13410507665296 in words is "thirteen trillion, four hundred ten billion, five hundred seven million, six hundred sixty-five thousand, two hundred ninety-six".