4020004242 has 40 divisors (see below), whose sum is σ = 9033433596. Its totient is φ = 1336186368.

The previous prime is 4020004237. The next prime is 4020004301. The reversal of 4020004242 is 2424000204.

4020004242 is a `hidden beast` number, since 40 + 200 + 0 + 424 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3992849721 + 27154521 = 63189^2 + 5211^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22038 + ... + 92334.

Almost surely, 2^4020004242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020004242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516716798).

4020004242 is an abundant number, since it is smaller than the sum of its proper divisors (5013429354).

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

4020004242 is a wasteful number, since it uses less digits than its factorization.

4020004242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70664 (or 70655 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 4020004242 is about 63403.5033890084. The cubic root of 4020004242 is about 1590.0428824319.

Adding to 4020004242 its reverse (2424000204), we get a palindrome (6444004446).

The spelling of 4020004242 in words is "four billion, twenty million, four thousand, two hundred forty-two".