14221977440 has 96 divisors (see below), whose sum is σ = 37201296384. Its totient is φ = 5094397440.

The previous prime is 14221977433. The next prime is 14221977443. The reversal of 14221977440 is 4477912241.

14221977440 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 (14221977443) 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, 57617 + ... + 178223.

It is an arithmetic number, because the mean of its divisors is an integer number (387513504).

Almost surely, 2^14221977440 is an apocalyptic number.

14221977440 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 14221977440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600648192).

14221977440 is an abundant number, since it is smaller than the sum of its proper divisors (22979318944).

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

14221977440 is a wasteful number, since it uses less digits than its factorization.

14221977440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120700 (or 120692 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 14221977440 in words is "fourteen billion, two hundred twenty-one million, nine hundred seventy-seven thousand, four hundred forty".