14401305240 has 128 divisors (see below), whose sum is σ = 49412712960. Its totient is φ = 3289273344.

The previous prime is 14401305211. The next prime is 14401305299. The reversal of 14401305240 is 4250310441.

14401305240 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 self number, because there is not a number n which added to its sum of digits gives 14401305240.

It is a congruent number.

It is an unprimeable number.

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, 1273692 + ... + 1284948.

It is an arithmetic number, because the mean of its divisors is an integer number (386036820).

Almost surely, 2^14401305240 is an apocalyptic number.

14401305240 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 14401305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24706356480).

14401305240 is an abundant number, since it is smaller than the sum of its proper divisors (35011407720).

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

14401305240 is a wasteful number, since it uses less digits than its factorization.

14401305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12801 (or 12797 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 14401305240 its reverse (4250310441), we get a palindrome (18651615681).

The spelling of 14401305240 in words is "fourteen billion, four hundred one million, three hundred five thousand, two hundred forty".