14442122124440 has 256 divisors, whose sum is σ = 35631149875200. Its totient is φ = 5248070438400.

The previous prime is 14442122124433. The next prime is 14442122124449. The reversal of 14442122124440 is 4442122124441.

It is a self number, because there is not a number n which added to its sum of digits gives 14442122124440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442122124449) 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 63 ways as a sum of consecutive naturals, for example, 1183483379 + ... + 1183495581.

It is an arithmetic number, because the mean of its divisors is an integer number (139184179200).

Almost surely, 2^{14442122124440} is an apocalyptic number.

14442122124440 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 14442122124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815574937600).

14442122124440 is an abundant number, since it is smaller than the sum of its proper divisors (21189027750760).

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

14442122124440 is a wasteful number, since it uses less digits than its factorization.

14442122124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12718 (or 12714 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 35.

Adding to 14442122124440 its reverse (4442122124441), we get a palindrome (18884244248881).

Subtracting from 14442122124440 its reverse (4442122124441), we obtain a palindrome (9999999999999).

The spelling of 14442122124440 in words is "fourteen trillion, four hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, four hundred forty".