14131440 has 120 divisors (see below), whose sum is σ = 50004240. Its totient is φ = 3566592.

The previous prime is 14131433. The next prime is 14131457. The reversal of 14131440 is 4413141.

14131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13164 + ... + 14196.

It is an arithmetic number, because the mean of its divisors is an integer number (416702).

Almost surely, 2^14131440 is an apocalyptic number.

14131440 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 14131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002120).

14131440 is an abundant number, since it is smaller than the sum of its proper divisors (35872800).

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

14131440 is a wasteful number, since it uses less digits than its factorization.

14131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14131440 is about 3759.1807618150. The cubic root of 14131440 is about 241.7661379391.

Adding to 14131440 its reverse (4413141), we get a palindrome (18544581).

The spelling of 14131440 in words is "fourteen million, one hundred thirty-one thousand, four hundred forty".