4008042 has 28 divisors (see below), whose sum is σ = 9017250. Its totient is φ = 1335528.

The previous prime is 4008029. The next prime is 4008077. The reversal of 4008042 is 2408004.

It is a happy number.

4008042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3884841 + 123201 = 1971^2 + 351^2 .

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

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 84 + ... + 2832.

Almost surely, 2^4008042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508625).

4008042 is an abundant number, since it is smaller than the sum of its proper divisors (5009208).

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

4008042 is an equidigital number, since it uses as much as digits as its factorization.

4008042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4008042 is about 2002.0094904870. The cubic root of 4008042 is about 158.8464163096.

The spelling of 4008042 in words is "four million, eight thousand, forty-two".