14044428288 has 288 divisors, whose sum is σ = 44714844720. Its totient is φ = 4211343360.

The previous prime is 14044428283. The next prime is 14044428301. The reversal of 14044428288 is 88282444041.

14044428288 is a `hidden beast` number, since 140 + 4 + 4 + 428 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×14044428288² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14044428283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22910670 + ... + 22911282.

Almost surely, 2^14044428288 is an apocalyptic number.

14044428288 is a gapful number since it is divisible by the number (18) 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 14044428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22357422360).

14044428288 is an abundant number, since it is smaller than the sum of its proper divisors (30670416432).

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

14044428288 is a wasteful number, since it uses less digits than its factorization.

14044428288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 14044428288 in words is "fourteen billion, forty-four million, four hundred twenty-eight thousand, two hundred eighty-eight".