4042112 has 32 divisors (see below), whose sum is σ = 8408880. Its totient is φ = 1931776.

The previous prime is 4042111. The next prime is 4042153. The reversal of 4042112 is 2112404.

4042112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2258 + ... + 3630.

Almost surely, 2^4042112 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 4042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204440).

4042112 is an abundant number, since it is smaller than the sum of its proper divisors (4366768).

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

4042112 is a wasteful number, since it uses less digits than its factorization.

4042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4042112 is about 2010.5004352151. The cubic root of 4042112 is about 159.2952335428.

Adding to 4042112 its reverse (2112404), we get a palindrome (6154516).

The spelling of 4042112 in words is "four million, forty-two thousand, one hundred twelve".