14144400 has 90 divisors (see below), whose sum is σ = 49097490. Its totient is φ = 3770880.

The previous prime is 14144393. The next prime is 14144413. The reversal of 14144400 is 444141.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 14107536 = 192^2 + 3756^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1636 + ... + 5564.

Almost surely, 2^14144400 is an apocalyptic number.

14144400 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 14144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548745).

14144400 is an abundant number, since it is smaller than the sum of its proper divisors (34953090).

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

14144400 is a wasteful number, since it uses less digits than its factorization.

14144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3939 counting only the distinct ones).

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

The square root of 14144400 is about 3760.9041466116. The cubic root of 14144400 is about 241.8400235866.

Adding to 14144400 its reverse (444141), we get a palindrome (14588541).

The spelling of 14144400 in words is "fourteen million, one hundred forty-four thousand, four hundred".