14444430880 has 96 divisors (see below), whose sum is σ = 37261969920. Its totient is φ = 5247621120.

The previous prime is 14444430877. The next prime is 14444430881. The reversal of 14444430880 is 8803444441.

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 (14444430881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265457 + ... + 2271823.

It is an arithmetic number, because the mean of its divisors is an integer number (388145520).

Almost surely, 2^14444430880 is an apocalyptic number.

14444430880 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 14444430880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630984960).

14444430880 is an abundant number, since it is smaller than the sum of its proper divisors (22817539040).

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

14444430880 is a wasteful number, since it uses less digits than its factorization.

14444430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 7674 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 14444430880 in words is "fourteen billion, four hundred forty-four million, four hundred thirty thousand, eight hundred eighty".