13040331510240 has 576 divisors, whose sum is σ = 47214335960064. Its totient is φ = 3397356546048.

The previous prime is 13040331510203. The next prime is 13040331510251. The reversal of 13040331510240 is 4201513304031.

It is a happy number.

13040331510240 is a `hidden beast` number, since 1 + 3 + 0 + 40 + 331 + 51 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1072654242 + ... + 1072666398.

It is an arithmetic number, because the mean of its divisors is an integer number (81969333264).

Almost surely, 2^{13040331510240} is an apocalyptic number.

13040331510240 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 13040331510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23607167980032).

13040331510240 is an abundant number, since it is smaller than the sum of its proper divisors (34174004449824).

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

13040331510240 is a wasteful number, since it uses less digits than its factorization.

13040331510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13040331510240 its reverse (4201513304031), we get a palindrome (17241844814271).

The spelling of 13040331510240 in words is "thirteen trillion, forty billion, three hundred thirty-one million, five hundred ten thousand, two hundred forty".