4144000 has 128 divisors (see below), whose sum is σ = 12093120. Its totient is φ = 1382400.

The previous prime is 4143973. The next prime is 4144001. The reversal of 4144000 is 4414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111982 + ... + 112018.

Almost surely, 2^4144000 is an apocalyptic number.

4144000 is a gapful number since it is divisible by the number (40) 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 4144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046560).

4144000 is an abundant number, since it is smaller than the sum of its proper divisors (7949120).

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

4144000 is an equidigital number, since it uses as much as digits as its factorization.

4144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4144000 is about 2035.6817039999. The cubic root of 4144000 is about 160.6225743652.

Adding to 4144000 its reverse (4414), we get a palindrome (4148414).

The spelling of 4144000 in words is "four million, one hundred forty-four thousand".