4142044004 has 48 divisors (see below), whose sum is σ = 8743526400. Its totient is φ = 1677213216.

The previous prime is 4142044003. The next prime is 4142044031. The reversal of 4142044004 is 4004402414.

It is not an unprimeable number, because it can be changed into a prime (4142044003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191357 + ... + 211899.

It is an arithmetic number, because the mean of its divisors is an integer number (182156800).

Almost surely, 2^4142044004 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 4142044004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371763200).

4142044004 is an abundant number, since it is smaller than the sum of its proper divisors (4601482396).

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

4142044004 is a wasteful number, since it uses less digits than its factorization.

4142044004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20952 (or 20950 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4142044004 is about 64358.7135048550. The cubic root of 4142044004 is about 1605.9729874123.

Adding to 4142044004 its reverse (4004402414), we get a palindrome (8146446418).

The spelling of 4142044004 in words is "four billion, one hundred forty-two million, forty-four thousand, four".