14144133120 has 384 divisors, whose sum is σ = 49334987520. Its totient is φ = 3438673920.

The previous prime is 14144133119. The next prime is 14144133167. The reversal of 14144133120 is 2133144141.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42731355 + ... + 42731685.

It is an arithmetic number, because the mean of its divisors is an integer number (128476530).

Almost surely, 2^14144133120 is an apocalyptic number.

14144133120 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 14144133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24667493760).

14144133120 is an abundant number, since it is smaller than the sum of its proper divisors (35190854400).

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

14144133120 is a wasteful number, since it uses less digits than its factorization.

14144133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

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

Adding to 14144133120 its reverse (2133144141), we get a palindrome (16277277261).

The spelling of 14144133120 in words is "fourteen billion, one hundred forty-four million, one hundred thirty-three thousand, one hundred twenty".