14433241120 has 96 divisors (see below), whose sum is σ = 34368800256. Its totient is φ = 5727744000.

The previous prime is 14433241117. The next prime is 14433241127. The reversal of 14433241120 is 2114233441.

It is not an unprimeable number, because it can be changed into a prime (14433241127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14563825 + ... + 14564815.

It is an arithmetic number, because the mean of its divisors is an integer number (358008336).

Almost surely, 2^14433241120 is an apocalyptic number.

14433241120 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 14433241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184400128).

14433241120 is an abundant number, since it is smaller than the sum of its proper divisors (19935559136).

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

14433241120 is a wasteful number, since it uses less digits than its factorization.

14433241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 14433241120 its reverse (2114233441), we get a palindrome (16547474561).

The spelling of 14433241120 in words is "fourteen billion, four hundred thirty-three million, two hundred forty-one thousand, one hundred twenty".