13140403440 has 160 divisors (see below), whose sum is σ = 42528974400. Its totient is φ = 3352043520.

The previous prime is 13140403427. The next prime is 13140403457. The reversal of 13140403440 is 4430404131.

13140403440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13140403440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749980 + ... + 767300.

It is an arithmetic number, because the mean of its divisors is an integer number (265806090).

Almost surely, 2^13140403440 is an apocalyptic number.

13140403440 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 13140403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21264487200).

13140403440 is an abundant number, since it is smaller than the sum of its proper divisors (29388570960).

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

13140403440 is a wasteful number, since it uses less digits than its factorization.

13140403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17475 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13140403440 its reverse (4430404131), we get a palindrome (17570807571).

The spelling of 13140403440 in words is "thirteen billion, one hundred forty million, four hundred three thousand, four hundred forty".