13424317200 has 360 divisors, whose sum is σ = 54149659200. Its totient is φ = 3016074240.

The previous prime is 13424317199. The next prime is 13424317243. The reversal of 13424317200 is 271342431.

It is a happy number.

13424317200 is a `hidden beast` number, since 1 + 3 + 424 + 31 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1482286 + ... + 1491314.

It is an arithmetic number, because the mean of its divisors is an integer number (150415720).

Almost surely, 2^13424317200 is an apocalyptic number.

13424317200 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 13424317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27074829600).

13424317200 is an abundant number, since it is smaller than the sum of its proper divisors (40725342000).

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

13424317200 is a wasteful number, since it uses less digits than its factorization.

13424317200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 13424317200 its reverse (271342431), we get a palindrome (13695659631).

The spelling of 13424317200 in words is "thirteen billion, four hundred twenty-four million, three hundred seventeen thousand, two hundred".