13240004032404 has 144 divisors (see below), whose sum is σ = 35852991095376. Its totient is φ = 4105027584000.

The previous prime is 13240004032393. The next prime is 13240004032417. The reversal of 13240004032404 is 40423040004231.

It is a happy number.

13240004032404 is a `hidden beast` number, since 13 + 2 + 4 + 0 + 0 + 0 + 403 + 240 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3598047509904 + 9641956522500 = 1896852^2 + 3105150^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41455084 + ... + 41773244.

It is an arithmetic number, because the mean of its divisors is an integer number (248979104829).

Almost surely, 2^{13240004032404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13240004032404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926495547688).

13240004032404 is an abundant number, since it is smaller than the sum of its proper divisors (22612987062972).

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

13240004032404 is a wasteful number, since it uses less digits than its factorization.

13240004032404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318986 (or 318981 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 13240004032404 its reverse (40423040004231), we get a palindrome (53663044036635).

The spelling of 13240004032404 in words is "thirteen trillion, two hundred forty billion, four million, thirty-two thousand, four hundred four".