14444041014100 has 72 divisors (see below), whose sum is σ = 31428666561600. Its totient is φ = 5761951238400.

The previous prime is 14444041014049. The next prime is 14444041014103. The reversal of 14444041014100 is 141014044441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444041014103) 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, 55159480 + ... + 55420720.

It is an arithmetic number, because the mean of its divisors is an integer number (436509257800).

Almost surely, 2^{14444041014100} is an apocalyptic number.

14444041014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444041014100 is an abundant number, since it is smaller than the sum of its proper divisors (16984625547500).

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

14444041014100 is a wasteful number, since it uses less digits than its factorization.

14444041014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262753 (or 262746 counting only the distinct ones).

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

Adding to 14444041014100 its reverse (141014044441), we get a palindrome (14585055058541).

The spelling of 14444041014100 in words is "fourteen trillion, four hundred forty-four billion, forty-one million, fourteen thousand, one hundred".