13120140431440 has 80 divisors (see below), whose sum is σ = 34863451096320. Its totient is φ = 4498157905920.

The previous prime is 13120140431389. The next prime is 13120140431527. The reversal of 13120140431440 is 4413404102131.

13120140431440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13120140431399 and 13120140431408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14294701 + ... + 15184819.

It is an arithmetic number, because the mean of its divisors is an integer number (435793138704).

Almost surely, 2^{13120140431440} is an apocalyptic number.

13120140431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120140431440 is an abundant number, since it is smaller than the sum of its proper divisors (21743310664880).

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

13120140431440 is a wasteful number, since it uses less digits than its factorization.

13120140431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916460 (or 916454 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13120140431440 its reverse (4413404102131), we get a palindrome (17533544533571).

The spelling of 13120140431440 in words is "thirteen trillion, one hundred twenty billion, one hundred forty million, four hundred thirty-one thousand, four hundred forty".