13014514240 has 336 divisors, whose sum is σ = 39624975360. Its totient is φ = 3982417920.

The previous prime is 13014514229. The next prime is 13014514243. The reversal of 13014514240 is 4241541031.

It is not an unprimeable number, because it can be changed into a prime (13014514243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11734806 + ... + 11735914.

Almost surely, 2^13014514240 is an apocalyptic number.

13014514240 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 13014514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812487680).

13014514240 is an abundant number, since it is smaller than the sum of its proper divisors (26610461120).

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

13014514240 is a wasteful number, since it uses less digits than its factorization.

13014514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 13014514240 in words is "thirteen billion, fourteen million, five hundred fourteen thousand, two hundred forty".