13424014411344 has 60 divisors (see below), whose sum is σ = 37569033847956. Its totient is φ = 4474619306496.

The previous prime is 13424014411331. The next prime is 13424014411397. The reversal of 13424014411344 is 44311441042431.

13424014411344 is a `hidden beast` number, since 1 + 3 + 42 + 40 + 1 + 441 + 134 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7714017417744 + 5709996993600 = 2777412^2 + 2389560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13424014411299 and 13424014411308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13024164 + ... + 14017020.

Almost surely, 2^{13424014411344} is an apocalyptic number.

It is an amenable number.

13424014411344 is an abundant number, since it is smaller than the sum of its proper divisors (24145019436612).

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

13424014411344 is a wasteful number, since it uses less digits than its factorization.

13424014411344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086764 (or 1086755 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13424014411344 its reverse (44311441042431), we get a palindrome (57735455453775).

The spelling of 13424014411344 in words is "thirteen trillion, four hundred twenty-four billion, fourteen million, four hundred eleven thousand, three hundred forty-four".