14344222414400 has 168 divisors, whose sum is σ = 35760686273760. Its totient is φ = 5662262845440.

The previous prime is 14344222414399. The next prime is 14344222414409. The reversal of 14344222414400 is 441422244341.

It is not an unprimeable number, because it can be changed into a prime (14344222414409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120390056 + ... + 120509144.

It is an arithmetic number, because the mean of its divisors is an integer number (212861227820).

Almost surely, 2^{14344222414400} is an apocalyptic number.

14344222414400 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 14344222414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17880343136880).

14344222414400 is an abundant number, since it is smaller than the sum of its proper divisors (21416463859360).

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

14344222414400 is a wasteful number, since it uses less digits than its factorization.

14344222414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120101 (or 120086 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 14344222414400 its reverse (441422244341), we get a palindrome (14785644658741).

The spelling of 14344222414400 in words is "fourteen trillion, three hundred forty-four billion, two hundred twenty-two million, four hundred fourteen thousand, four hundred".