13114134424440 has 96 divisors (see below), whose sum is σ = 48709642157280. Its totient is φ = 2997516439296.

The previous prime is 13114134424387. The next prime is 13114134424441. The reversal of 13114134424440 is 4442443141131.

13114134424440 is a `hidden beast` number, since 1 + 3 + 1 + 141 + 34 + 42 + 4 + 440 = 666.

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 = 13114134424395 and 13114134424404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13114134424441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2602008279 + ... + 2602013318.

It is an arithmetic number, because the mean of its divisors is an integer number (507392105805).

Almost surely, 2^{13114134424440} is an apocalyptic number.

13114134424440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114134424440 is an abundant number, since it is smaller than the sum of its proper divisors (35595507732840).

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

13114134424440 is a wasteful number, since it uses less digits than its factorization.

13114134424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204021621 (or 5204021614 counting only the distinct ones).

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

Adding to 13114134424440 its reverse (4442443141131), we get a palindrome (17556577565571).

The spelling of 13114134424440 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, four hundred twenty-four thousand, four hundred forty".