2040004004033 has 2 divisors, whose sum is σ = 2040004004034. Its totient is φ = 2040004004032.

The previous prime is 2040004004021. The next prime is 2040004004039. The reversal of 2040004004033 is 3304004000402.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1943492504464 + 96511499569 = 1394092^2 + 310663^2 .

It is a cyclic number.

It is not a de Polignac number, because 2040004004033 - 2⁶ = 2040004003969 is a prime.

It is a super-4 number, since 4×2040004004033⁴ (a number of 50 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2040004003996 and 2040004004014.

It is not a weakly prime, because it can be changed into another prime (2040004004039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1020002002016 + 1020002002017.

It is an arithmetic number, because the mean of its divisors is an integer number (1020002002017).

Almost surely, 2^{2040004004033} is an apocalyptic number.

It is an amenable number.

2040004004033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2040004004033 is an equidigital number, since it uses as much as digits as its factorization.

2040004004033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 2040004004033 its reverse (3304004000402), we get a palindrome (5344008004435).

The spelling of 2040004004033 in words is "two trillion, forty billion, four million, four thousand, thirty-three".