14144332110000 has 400 divisors, whose sum is σ = 48386442756960. Its totient is φ = 3552926720000.

The previous prime is 14144332109983. The next prime is 14144332110031. The reversal of 14144332110000 is 1123344141.

14144332110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35471734 + ... + 35868266.

Almost surely, 2^{14144332110000} is an apocalyptic number.

14144332110000 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 14144332110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24193221378480).

14144332110000 is an abundant number, since it is smaller than the sum of its proper divisors (34242110646960).

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

14144332110000 is a wasteful number, since it uses less digits than its factorization.

14144332110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396634 (or 396613 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14144332110000 its reverse (1123344141), we get a palindrome (14145455454141).

The spelling of 14144332110000 in words is "fourteen trillion, one hundred forty-four billion, three hundred thirty-two million, one hundred ten thousand".