13024100440 has 128 divisors (see below), whose sum is σ = 32532192000. Its totient is φ = 4662448128.

The previous prime is 13024100437. The next prime is 13024100443. The reversal of 13024100440 is 4400142031.

It is an interprime number because it is at equal distance from previous prime (13024100437) and next prime (13024100443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024100443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2661516 + ... + 2666404.

It is an arithmetic number, because the mean of its divisors is an integer number (254157750).

Almost surely, 2^13024100440 is an apocalyptic number.

13024100440 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 13024100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16266096000).

13024100440 is an abundant number, since it is smaller than the sum of its proper divisors (19508091560).

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

13024100440 is a wasteful number, since it uses less digits than its factorization.

13024100440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5069 (or 5065 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 13024100440 its reverse (4400142031), we get a palindrome (17424242471).

The spelling of 13024100440 in words is "thirteen billion, twenty-four million, one hundred thousand, four hundred forty".