12443404400 has 120 divisors (see below), whose sum is σ = 34213967904. Its totient is φ = 4260326400.

The previous prime is 12443404387. The next prime is 12443404423. The reversal of 12443404400 is 440434421.

It is a happy number.

12443404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12443404400.

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 23 ways as a sum of consecutive naturals, for example, 2296094 + ... + 2301506.

Almost surely, 2^12443404400 is an apocalyptic number.

12443404400 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 12443404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106983952).

12443404400 is an abundant number, since it is smaller than the sum of its proper divisors (21770563504).

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

12443404400 is a wasteful number, since it uses less digits than its factorization.

12443404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6248 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 12443404400 its reverse (440434421), we get a palindrome (12883838821).

The spelling of 12443404400 in words is "twelve billion, four hundred forty-three million, four hundred four thousand, four hundred".