13324050230400 has 1728 divisors, whose sum is σ = 61760988918720. Its totient is φ = 2663079690240.

The previous prime is 13324050230339. The next prime is 13324050230443. The reversal of 13324050230400 is 403205042331.

13324050230400 is a `hidden beast` number, since 1 + 3 + 3 + 24 + 0 + 5 + 0 + 230 + 400 = 666.

13324050230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 946101759 + ... + 946115841.

Almost surely, 2^{13324050230400} is an apocalyptic number.

13324050230400 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 13324050230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30880494459360).

13324050230400 is an abundant number, since it is smaller than the sum of its proper divisors (48436938688320).

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

13324050230400 is a wasteful number, since it uses less digits than its factorization.

13324050230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14171 (or 14132 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 13324050230400 its reverse (403205042331), we get a palindrome (13727255272731).

The spelling of 13324050230400 in words is "thirteen trillion, three hundred twenty-four billion, fifty million, two hundred thirty thousand, four hundred".