4042769184 has 384 divisors, whose sum is σ = 13196494080. Its totient is φ = 1198374912.

The previous prime is 4042769173. The next prime is 4042769191. The reversal of 4042769184 is 4819672404.

4042769184 is a `hidden beast` number, since 40 + 427 + 6 + 9 + 184 = 666.

4042769184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23368522 + ... + 23368694.

It is an arithmetic number, because the mean of its divisors is an integer number (34365870).

Almost surely, 2^4042769184 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 4042769184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598247040).

4042769184 is an abundant number, since it is smaller than the sum of its proper divisors (9153724896).

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

4042769184 is a wasteful number, since it uses less digits than its factorization.

4042769184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4042769184 is about 63582.7742710241. The cubic root of 4042769184 is about 1593.0386604369.

The spelling of 4042769184 in words is "four billion, forty-two million, seven hundred sixty-nine thousand, one hundred eighty-four".