13441344016128 has 72 divisors (see below), whose sum is σ = 40884088065408. Its totient is φ = 3840384003072.

The previous prime is 13441344016109. The next prime is 13441344016141. The reversal of 13441344016128 is 82161044314431.

It is a happy number.

It is a super-2 number, since 2×13441344016128² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13441344016128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1250119626 + ... + 1250130377.

It is an arithmetic number, because the mean of its divisors is an integer number (567834556464).

Almost surely, 2^{13441344016128} is an apocalyptic number.

It is an amenable number.

13441344016128 is an abundant number, since it is smaller than the sum of its proper divisors (27442744049280).

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

13441344016128 is an equidigital number, since it uses as much as digits as its factorization.

13441344016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500250029 (or 2500250015 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 13441344016128 in words is "thirteen trillion, four hundred forty-one billion, three hundred forty-four million, sixteen thousand, one hundred twenty-eight".