4142288 has 40 divisors (see below), whose sum is σ = 8640072. Its totient is φ = 1916928.

The previous prime is 4142287. The next prime is 4142293. The reversal of 4142288 is 8822414.

It can be written as a sum of positive squares in 4 ways, for example, as 652864 + 3489424 = 808^2 + 1868^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4142288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26306 + ... + 26462.

Almost surely, 2^4142288 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 4142288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320036).

4142288 is an abundant number, since it is smaller than the sum of its proper divisors (4497784).

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

4142288 is a wasteful number, since it uses less digits than its factorization.

4142288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 273 counting only the distinct ones).

The product of its digits is 4096, while the sum is 29.

The square root of 4142288 is about 2035.2611626030. The cubic root of 4142288 is about 160.6004521223.

The spelling of 4142288 in words is "four million, one hundred forty-two thousand, two hundred eighty-eight".