13444013114240 has 64 divisors (see below), whose sum is σ = 32253970061520. Its totient is φ = 5358467788800.

The previous prime is 13444013114227. The next prime is 13444013114317. The reversal of 13444013114240 is 4241131044431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13444013114197 and 13444013114206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37197866 + ... + 37557545.

Almost surely, 2^{13444013114240} is an apocalyptic number.

13444013114240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444013114240 is an abundant number, since it is smaller than the sum of its proper divisors (18809956947280).

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

13444013114240 is an equidigital number, since it uses as much as digits as its factorization.

13444013114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74755711 (or 74755699 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 13444013114240 its reverse (4241131044431), we get a palindrome (17685144158671).

The spelling of 13444013114240 in words is "thirteen trillion, four hundred forty-four billion, thirteen million, one hundred fourteen thousand, two hundred forty".