4042055766 has 96 divisors (see below), whose sum is σ = 9735459552. Its totient is φ = 1114767360.

The previous prime is 4042055753. The next prime is 4042055767. The reversal of 4042055766 is 6675502404.

4042055766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042055767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167510 + ... + 1170966.

It is an arithmetic number, because the mean of its divisors is an integer number (101411037).

Almost surely, 2^4042055766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042055766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867729776).

4042055766 is an abundant number, since it is smaller than the sum of its proper divisors (5693403786).

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

4042055766 is a wasteful number, since it uses less digits than its factorization.

4042055766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 4042055766 is about 63577.1638719438. The cubic root of 4042055766 is about 1592.9449483251.

The spelling of 4042055766 in words is "four billion, forty-two million, fifty-five thousand, seven hundred sixty-six".