14441114440 has 64 divisors (see below), whose sum is σ = 34521726960. Its totient is φ = 5418024960.

The previous prime is 14441114417. The next prime is 14441114531. The reversal of 14441114440 is 4441114441.

It is a happy number.

14441114440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11093566276 + 3347548164 = 105326^2 + 57858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14441114399 and 14441114408.

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 15 ways as a sum of consecutive naturals, for example, 163000 + ... + 235480.

Almost surely, 2^14441114440 is an apocalyptic number.

14441114440 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 14441114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260863480).

14441114440 is an abundant number, since it is smaller than the sum of its proper divisors (20080612520).

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

14441114440 is a wasteful number, since it uses less digits than its factorization.

14441114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72802 (or 72798 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 14441114440 its reverse (4441114441), we get a palindrome (18882228881).

Subtracting from 14441114440 its reverse (4441114441), we obtain a palindrome (9999999999).

It can be divided in two parts, 144411 and 14440, that added together give a palindrome (158851).

The spelling of 14441114440 in words is "fourteen billion, four hundred forty-one million, one hundred fourteen thousand, four hundred forty".