14084044128 has 720 divisors, whose sum is σ = 55749499344. Its totient is φ = 3437199360.

The previous prime is 14084044127. The next prime is 14084044171. The reversal of 14084044128 is 82144048041.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14084044092 and 14084044101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14084044127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23750200 + ... + 23750792.

Almost surely, 2^14084044128 is an apocalyptic number.

14084044128 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 14084044128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27874749672).

14084044128 is an abundant number, since it is smaller than the sum of its proper divisors (41665455216).

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

14084044128 is a wasteful number, since it uses less digits than its factorization.

14084044128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 14084044128 in words is "fourteen billion, eighty-four million, forty-four thousand, one hundred twenty-eight".