14444133130000 has 400 divisors, whose sum is σ = 43349754438144. Its totient is φ = 4547266560000.

The previous prime is 14444133129973. The next prime is 14444133130001. The reversal of 14444133130000 is 3133144441.

It is a happy number.

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 (28).

It is not an unprimeable number, because it can be changed into a prime (14444133130001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 48641977 + ... + 48938023.

Almost surely, 2^{14444133130000} is an apocalyptic number.

14444133130000 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 14444133130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21674877219072).

14444133130000 is an abundant number, since it is smaller than the sum of its proper divisors (28905621308144).

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

14444133130000 is a wasteful number, since it uses less digits than its factorization.

14444133130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296140 (or 296119 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14444133130000 its reverse (3133144441), we get a palindrome (14447266274441).

The spelling of 14444133130000 in words is "fourteen trillion, four hundred forty-four billion, one hundred thirty-three million, one hundred thirty thousand".