4144032 has 36 divisors (see below), whose sum is σ = 11785410. Its totient is φ = 1381248.

The previous prime is 4144031. The next prime is 4144043. The reversal of 4144032 is 2304414.

It can be written as a sum of positive squares in only one way, i.e., 3825936 + 318096 = 1956^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 4143996 and 4144014.

It is not an unprimeable number, because it can be changed into a prime (4144031) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6907 + ... + 7482.

Almost surely, 2^4144032 is an apocalyptic number.

It is an amenable number.

4144032 is an abundant number, since it is smaller than the sum of its proper divisors (7641378).

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

4144032 is a wasteful number, since it uses less digits than its factorization.

4144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405 (or 14394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4144032 is about 2035.6895637597. The cubic root of 4144032 is about 160.6229878071.

Adding to 4144032 its reverse (2304414), we get a palindrome (6448446).

The spelling of 4144032 in words is "four million, one hundred forty-four thousand, thirty-two".