13041345240 has 384 divisors, whose sum is σ = 54668390400. Its totient is φ = 2616284160.

The previous prime is 13041345227. The next prime is 13041345259. The reversal of 13041345240 is 4254314031.

It is a happy number.

13041345240 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 134 + 524 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 795769 + ... + 811991.

It is an arithmetic number, because the mean of its divisors is an integer number (142365600).

Almost surely, 2^13041345240 is an apocalyptic number.

13041345240 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 13041345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334195200).

13041345240 is an abundant number, since it is smaller than the sum of its proper divisors (41627045160).

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

13041345240 is a wasteful number, since it uses less digits than its factorization.

13041345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16287 (or 16280 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13041345240 its reverse (4254314031), we get a palindrome (17295659271).

It can be divided in two parts, 13041 and 345240, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 13041345240 in words is "thirteen billion, forty-one million, three hundred forty-five thousand, two hundred forty".