13240254240 has 144 divisors (see below), whose sum is σ = 45224976888. Its totient is φ = 3527405568.

The previous prime is 13240254217. The next prime is 13240254241. The reversal of 13240254240 is 4245204231.

13240254240 is a `hidden beast` number, since 13 + 2 + 402 + 5 + 4 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9030320784 + 4209933456 = 95028^2 + 64884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (13240254241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777564 + ... + 1784996.

Almost surely, 2^13240254240 is an apocalyptic number.

13240254240 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 13240254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22612488444).

13240254240 is an abundant number, since it is smaller than the sum of its proper divisors (31984722648).

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

13240254240 is a wasteful number, since it uses less digits than its factorization.

13240254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8691 (or 8680 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 13240254240 its reverse (4245204231), we get a palindrome (17485458471).

The spelling of 13240254240 in words is "thirteen billion, two hundred forty million, two hundred fifty-four thousand, two hundred forty".