14004144 has 160 divisors (see below), whose sum is σ = 50234880. Its totient is φ = 3628800.

The previous prime is 14004143. The next prime is 14004149. The reversal of 14004144 is 44140041.

It is a super-2 number, since 2×14004144² = 392232098345472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33054 + ... + 33474.

It is an arithmetic number, because the mean of its divisors is an integer number (313968).

Almost surely, 2^14004144 is an apocalyptic number.

14004144 is a gapful number since it is divisible by the number (14) 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 14004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25117440).

14004144 is an abundant number, since it is smaller than the sum of its proper divisors (36230736).

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

14004144 is a wasteful number, since it uses less digits than its factorization.

14004144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14004144 is about 3742.2111110946. The cubic root of 14004144 is about 241.0380041419.

Adding to 14004144 its reverse (44140041), we get a palindrome (58144185).

The spelling of 14004144 in words is "fourteen million, four thousand, one hundred forty-four".