14444410110340 has 96 divisors (see below), whose sum is σ = 34822777651200. Its totient is φ = 4930084776960.

The previous prime is 14444410110331. The next prime is 14444410110359. The reversal of 14444410110340 is 4301101444441.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48017200 + ... + 48317080.

It is an arithmetic number, because the mean of its divisors is an integer number (362737267200).

Almost surely, 2^{14444410110340} is an apocalyptic number.

14444410110340 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 14444410110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411388825600).

14444410110340 is an abundant number, since it is smaller than the sum of its proper divisors (20378367540860).

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

14444410110340 is a wasteful number, since it uses less digits than its factorization.

14444410110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301445 (or 301443 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 14444410110340 its reverse (4301101444441), we get a palindrome (18745511554781).

It can be divided in two parts, 144444101 and 10340, that added together give a palindrome (144454441).

The spelling of 14444410110340 in words is "fourteen trillion, four hundred forty-four billion, four hundred ten million, one hundred ten thousand, three hundred forty".