14224045440 has 128 divisors (see below), whose sum is σ = 49460958720. Its totient is φ = 3448248320.

The previous prime is 14224045397. The next prime is 14224045441. The reversal of 14224045440 is 4454042241.

14224045440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14224045398 and 14224045407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14224045441) 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, 315624 + ... + 357863.

It is an arithmetic number, because the mean of its divisors is an integer number (386413740).

Almost surely, 2^14224045440 is an apocalyptic number.

14224045440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224045440 is an abundant number, since it is smaller than the sum of its proper divisors (35236913280).

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

14224045440 is a wasteful number, since it uses less digits than its factorization.

14224045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673520 (or 673508 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 14224045440 its reverse (4454042241), we get a palindrome (18678087681).

The spelling of 14224045440 in words is "fourteen billion, two hundred twenty-four million, forty-five thousand, four hundred forty".