13224214400 has 192 divisors, whose sum is σ = 34119497760. Its totient is φ = 5059584000.

The previous prime is 13224214351. The next prime is 13224214469. The reversal of 13224214400 is 441242231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7221485 + ... + 7223315.

Almost surely, 2^13224214400 is an apocalyptic number.

13224214400 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 13224214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17059748880).

13224214400 is an abundant number, since it is smaller than the sum of its proper divisors (20895283360).

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

13224214400 is a wasteful number, since it uses less digits than its factorization.

13224214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13224214400 its reverse (441242231), we get a palindrome (13665456631).

The spelling of 13224214400 in words is "thirteen billion, two hundred twenty-four million, two hundred fourteen thousand, four hundred".