13224344400 has 90 divisors (see below), whose sum is σ = 45892160990. Its totient is φ = 3526490880.

The previous prime is 13224344369. The next prime is 13224344417. The reversal of 13224344400 is 444342231.

It is a happy number.

13224344400 is a `hidden beast` number, since 1 + 3 + 224 + 34 + 4 + 400 = 666.

13224344400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 945931536 + 12278412864 = 30756^2 + 110808^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×13224344400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1833115 + ... + 1840314.

Almost surely, 2^13224344400 is an apocalyptic number.

13224344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13224344400 is an abundant number, since it is smaller than the sum of its proper divisors (32667816590).

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

13224344400 is a wasteful number, since it uses less digits than its factorization.

13224344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673453 (or 3673439 counting only the distinct ones).

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

Adding to 13224344400 its reverse (444342231), we get a palindrome (13668686631).

The spelling of 13224344400 in words is "thirteen billion, two hundred twenty-four million, three hundred forty-four thousand, four hundred".