14310521440 has 96 divisors (see below), whose sum is σ = 34440759360. Its totient is φ = 5617920000.

The previous prime is 14310521321. The next prime is 14310521447. The reversal of 14310521440 is 4412501341.

14310521440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14310521447) 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 15 ways as a sum of consecutive naturals, for example, 2598690 + ... + 2604190.

It is an arithmetic number, because the mean of its divisors is an integer number (358757910).

Almost surely, 2^14310521440 is an apocalyptic number.

14310521440 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 14310521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220379680).

14310521440 is an abundant number, since it is smaller than the sum of its proper divisors (20130237920).

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

14310521440 is a wasteful number, since it uses less digits than its factorization.

14310521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 14310521440 in words is "fourteen billion, three hundred ten million, five hundred twenty-one thousand, four hundred forty".