4004224340033 has 2 divisors, whose sum is σ = 4004224340034. Its totient is φ = 4004224340032.

The previous prime is 4004224340009. The next prime is 4004224340093. The reversal of 4004224340033 is 3300434224004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3680039865649 + 324184474384 = 1918343^2 + 569372^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004224340033 - 2⁴⁰ = 2904712712257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004224339978 and 4004224340005.

It is not a weakly prime, because it can be changed into another prime (4004224340093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002112170016 + 2002112170017.

It is an arithmetic number, because the mean of its divisors is an integer number (2002112170017).

Almost surely, 2^{4004224340033} is an apocalyptic number.

It is an amenable number.

4004224340033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004224340033 is an equidigital number, since it uses as much as digits as its factorization.

4004224340033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 4004224340033 its reverse (3300434224004), we get a palindrome (7304658564037).

The spelling of 4004224340033 in words is "four trillion, four billion, two hundred twenty-four million, three hundred forty thousand, thirty-three".