13114635240 has 256 divisors, whose sum is σ = 47479449600. Its totient is φ = 2830961664.

The previous prime is 13114635217. The next prime is 13114635241. The reversal of 13114635240 is 4253641131.

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 = 13114635198 and 13114635207.

It is not an unprimeable number, because it can be changed into a prime (13114635241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5951979 + ... + 5954181.

It is an arithmetic number, because the mean of its divisors is an integer number (185466600).

Almost surely, 2^13114635240 is an apocalyptic number.

13114635240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114635240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23739724800).

13114635240 is an abundant number, since it is smaller than the sum of its proper divisors (34364814360).

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

13114635240 is a wasteful number, since it uses less digits than its factorization.

13114635240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13114635240 in words is "thirteen billion, one hundred fourteen million, six hundred thirty-five thousand, two hundred forty".