14321444212400 has 120 divisors (see below), whose sum is σ = 37085373769584. Its totient is φ = 5283438105600.

The previous prime is 14321444212291. The next prime is 14321444212403. The reversal of 14321444212400 is 421244412341.

It is not an unprimeable number, because it can be changed into a prime (14321444212403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4975187 + ... + 7307213.

Almost surely, 2^{14321444212400} is an apocalyptic number.

14321444212400 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 14321444212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542686884792).

14321444212400 is an abundant number, since it is smaller than the sum of its proper divisors (22763929557184).

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

14321444212400 is a wasteful number, since it uses less digits than its factorization.

14321444212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333239 (or 2333228 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 14321444212400 its reverse (421244412341), we get a palindrome (14742688624741).

The spelling of 14321444212400 in words is "fourteen trillion, three hundred twenty-one billion, four hundred forty-four million, two hundred twelve thousand, four hundred".