13024413402440 has 128 divisors (see below), whose sum is σ = 32056023283200. Its totient is φ = 4723269304320.

The previous prime is 13024413402439. The next prime is 13024413402587. The reversal of 13024413402440 is 4420431442031.

It is a junction number, because it is equal to n+sod(n) for n = 13024413402397 and 13024413402406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512295569 + ... + 512320991.

It is an arithmetic number, because the mean of its divisors is an integer number (250437681900).

Almost surely, 2^{13024413402440} is an apocalyptic number.

13024413402440 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 13024413402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028011641600).

13024413402440 is an abundant number, since it is smaller than the sum of its proper divisors (19031609880760).

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

13024413402440 is a wasteful number, since it uses less digits than its factorization.

13024413402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28567 (or 28563 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 13024413402440 its reverse (4420431442031), we get a palindrome (17444844844471).

The spelling of 13024413402440 in words is "thirteen trillion, twenty-four billion, four hundred thirteen million, four hundred two thousand, four hundred forty".