13140305430240 has 96 divisors (see below), whose sum is σ = 41707931481216. Its totient is φ = 3477332718080.

The previous prime is 13140305430209. The next prime is 13140305430253. The reversal of 13140305430240 is 4203450304131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13140305430198 and 13140305430207.

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, 104424282 + ... + 104550041.

It is an arithmetic number, because the mean of its divisors is an integer number (434457619596).

Almost surely, 2^{13140305430240} is an apocalyptic number.

13140305430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140305430240 is an abundant number, since it is smaller than the sum of its proper divisors (28567626050976).

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

13140305430240 is a wasteful number, since it uses less digits than its factorization.

13140305430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208974472 (or 208974464 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13140305430240 its reverse (4203450304131), we get a palindrome (17343755734371).

The spelling of 13140305430240 in words is "thirteen trillion, one hundred forty billion, three hundred five million, four hundred thirty thousand, two hundred forty".