14444131123240 has 256 divisors, whose sum is σ = 40482886993920. Its totient is φ = 4516239974400.

The previous prime is 14444131123229. The next prime is 14444131123267. The reversal of 14444131123240 is 4232113144441.

It is a junction number, because it is equal to n+sod(n) for n = 14444131123196 and 14444131123205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170174892 + ... + 170259748.

It is an arithmetic number, because the mean of its divisors is an integer number (158136277320).

Almost surely, 2^{14444131123240} is an apocalyptic number.

14444131123240 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 14444131123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20241443496960).

14444131123240 is an abundant number, since it is smaller than the sum of its proper divisors (26038755870680).

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

14444131123240 is a wasteful number, since it uses less digits than its factorization.

14444131123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85452 (or 85448 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 14444131123240 its reverse (4232113144441), we get a palindrome (18676244267681).

The spelling of 14444131123240 in words is "fourteen trillion, four hundred forty-four billion, one hundred thirty-one million, one hundred twenty-three thousand, two hundred forty".