13324042402400 has 288 divisors, whose sum is σ = 35098555111200. Its totient is φ = 4923953971200.

The previous prime is 13324042402357. The next prime is 13324042402421. The reversal of 13324042402400 is 420424042331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98686940 + ... + 98821860.

It is an arithmetic number, because the mean of its divisors is an integer number (121869983025).

Almost surely, 2^{13324042402400} is an apocalyptic number.

13324042402400 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 13324042402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549277555600).

13324042402400 is an abundant number, since it is smaller than the sum of its proper divisors (21774512708800).

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

13324042402400 is a wasteful number, since it uses less digits than its factorization.

13324042402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135122 (or 135109 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 13324042402400 its reverse (420424042331), we get a palindrome (13744466444731).

The spelling of 13324042402400 in words is "thirteen trillion, three hundred twenty-four billion, forty-two million, four hundred two thousand, four hundred".