14442184480 has 48 divisors (see below), whose sum is σ = 34150629240. Its totient is φ = 5771630592.

The previous prime is 14442184459. The next prime is 14442184481. The reversal of 14442184480 is 8448124441.

14442184480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9651883536 + 4790300944 = 98244^2 + 69212^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14442184481) 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 7 ways as a sum of consecutive naturals, for example, 138316 + ... + 219124.

Almost surely, 2^14442184480 is an apocalyptic number.

14442184480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442184480 is an abundant number, since it is smaller than the sum of its proper divisors (19708444760).

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

14442184480 is a wasteful number, since it uses less digits than its factorization.

14442184480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81941 (or 81933 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 14442184480 in words is "fourteen billion, four hundred forty-two million, one hundred eighty-four thousand, four hundred eighty".