4042368 has 144 divisors (see below), whose sum is σ = 13226850. Its totient is φ = 1182720.

The previous prime is 4042343. The next prime is 4042391. The reversal of 4042368 is 8632404.

4042368 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., 3415104 + 627264 = 1848^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 139378 + ... + 139406.

Almost surely, 2^4042368 is an apocalyptic number.

4042368 is a gapful number since it is divisible by the number (48) 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 4042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613425).

4042368 is an abundant number, since it is smaller than the sum of its proper divisors (9184482).

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

4042368 is a wasteful number, since it uses less digits than its factorization.

4042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4042368 is about 2010.5640999481. The cubic root of 4042368 is about 159.2985963656.

It can be divided in two parts, 404 and 2368, that added together give a palindrome (2772).

The spelling of 4042368 in words is "four million, forty-two thousand, three hundred sixty-eight".