14401440 has 144 divisors (see below), whose sum is σ = 50181768. Its totient is φ = 3760128.

The previous prime is 14401421. The next prime is 14401459. The reversal of 14401440 is 4410441.

It is an interprime number because it is at equal distance from previous prime (14401421) and next prime (14401459).

It can be written as a sum of positive squares in 4 ways, for example, as 12362256 + 2039184 = 3516^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 105052 + ... + 105188.

Almost surely, 2^14401440 is an apocalyptic number.

14401440 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 14401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25090884).

14401440 is an abundant number, since it is smaller than the sum of its proper divisors (35780328).

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

14401440 is a wasteful number, since it uses less digits than its factorization.

14401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

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

The square root of 14401440 is about 3794.9229241185. The cubic root of 14401440 is about 243.2961891553.

Adding to 14401440 its reverse (4410441), we get a palindrome (18811881).

Subtracting from 14401440 its reverse (4410441), we obtain a palindrome (9990999).

It can be divided in two parts, 14401 and 440, that added together give a palindrome (14841).

The spelling of 14401440 in words is "fourteen million, four hundred one thousand, four hundred forty".