14441222400 has 432 divisors, whose sum is σ = 52584009408. Its totient is φ = 3461120000.

The previous prime is 14441222387. The next prime is 14441222431. The reversal of 14441222400 is 422214441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21330862 + ... + 21331538.

It is an arithmetic number, because the mean of its divisors is an integer number (121722244).

Almost surely, 2^14441222400 is an apocalyptic number.

14441222400 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 14441222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292004704).

14441222400 is an abundant number, since it is smaller than the sum of its proper divisors (38142787008).

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

14441222400 is a wasteful number, since it uses less digits than its factorization.

14441222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14441222400 its reverse (422214441), we get a palindrome (14863436841).

The spelling of 14441222400 in words is "fourteen billion, four hundred forty-one million, two hundred twenty-two thousand, four hundred".