13204315441440 has 144 divisors (see below), whose sum is σ = 45073319054400. Its totient is φ = 3520088603136.

The previous prime is 13204315441417. The next prime is 13204315441453. The reversal of 13204315441440 is 4414451340231.

It is a happy number.

13204315441440 is a `hidden beast` number, since 1 + 3 + 20 + 4 + 3 + 154 + 41 + 440 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13204315441395 and 13204315441404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397971 + ... + 6160749.

It is an arithmetic number, because the mean of its divisors is an integer number (313009160100).

Almost surely, 2^{13204315441440} is an apocalyptic number.

13204315441440 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 13204315441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22536659527200).

13204315441440 is an abundant number, since it is smaller than the sum of its proper divisors (31869003612960).

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

13204315441440 is a wasteful number, since it uses less digits than its factorization.

13204315441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766119 (or 2766108 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13204315441440 its reverse (4414451340231), we get a palindrome (17618766781671).

The spelling of 13204315441440 in words is "thirteen trillion, two hundred four billion, three hundred fifteen million, four hundred forty-one thousand, four hundred forty".