4133883105 has 48 divisors (see below), whose sum is σ = 8228226240. Its totient is φ = 1898812800.

The previous prime is 4133883071. The next prime is 4133883107. The reversal of 4133883105 is 5013883314.

4133883105 is a `hidden beast` number, since 4 + 1 + 338 + 8 + 310 + 5 = 666.

4133883105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4133883105 - 2⁶ = 4133883041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4133883105.

It is not an unprimeable number, because it can be changed into a prime (4133883107) 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, 210366 + ... + 229175.

It is an arithmetic number, because the mean of its divisors is an integer number (171421380).

Almost surely, 2^4133883105 is an apocalyptic number.

4133883105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4133883105 is a deficient number, since it is larger than the sum of its proper divisors (4094343135).

4133883105 is a wasteful number, since it uses less digits than its factorization.

4133883105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439582 (or 439579 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4133883105 is about 64295.2805810815. The cubic root of 4133883105 is about 1604.9175664420.

The spelling of 4133883105 in words is "four billion, one hundred thirty-three million, eight hundred eighty-three thousand, one hundred five".