4142144 has 28 divisors (see below), whose sum is σ = 8362188. Its totient is φ = 2035200.

The previous prime is 4142129. The next prime is 4142161. The reversal of 4142144 is 4412414.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 2958400 = 1088^2 + 1720^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3374 + ... + 4434.

Almost surely, 2^4142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181094).

4142144 is an abundant number, since it is smaller than the sum of its proper divisors (4220044).

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

4142144 is a wasteful number, since it uses less digits than its factorization.

4142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1124 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 4142144 is about 2035.2257860002. The cubic root of 4142144 is about 160.5985910950.

Adding to 4142144 its reverse (4412414), we get a palindrome (8554558).

The spelling of 4142144 in words is "four million, one hundred forty-two thousand, one hundred forty-four".