4004034033 has 16 divisors (see below), whose sum is σ = 5363120000. Its totient is φ = 2657176704.

The previous prime is 4004034017. The next prime is 4004034061. The reversal of 4004034033 is 3304304004.

It is not a de Polignac number, because 4004034033 - 2⁴ = 4004034017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4004034733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798468 + ... + 803466.

It is an arithmetic number, because the mean of its divisors is an integer number (335195000).

Almost surely, 2^4004034033 is an apocalyptic number.

It is an amenable number.

4004034033 is a deficient number, since it is larger than the sum of its proper divisors (1359085967).

4004034033 is a wasteful number, since it uses less digits than its factorization.

4004034033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 4004034033 is about 63277.4369977167. The cubic root of 4004034033 is about 1587.9345083623.

Adding to 4004034033 its reverse (3304304004), we get a palindrome (7308338037).

The spelling of 4004034033 in words is "four billion, four million, thirty-four thousand, thirty-three".