14241333120 has 256 divisors, whose sum is σ = 52013145600. Its totient is φ = 3246759936.

The previous prime is 14241333077. The next prime is 14241333121. The reversal of 14241333120 is 2133314241.

It is a happy number.

14241333120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241333121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6275346 + ... + 6277614.

It is an arithmetic number, because the mean of its divisors is an integer number (203176350).

Almost surely, 2^14241333120 is an apocalyptic number.

14241333120 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 14241333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26006572800).

14241333120 is an abundant number, since it is smaller than the sum of its proper divisors (37771812480).

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

14241333120 is a wasteful number, since it uses less digits than its factorization.

14241333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14241333120 its reverse (2133314241), we get a palindrome (16374647361).

It can be divided in two parts, 14241 and 333120, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 14241333120 in words is "fourteen billion, two hundred forty-one million, three hundred thirty-three thousand, one hundred twenty".