4033128961 has 2 divisors, whose sum is σ = 4033128962. Its totient is φ = 4033128960.

The previous prime is 4033128941. The next prime is 4033128989. The reversal of 4033128961 is 1698213304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3885652225 + 147476736 = 62335^2 + 12144^2 .

It is a cyclic number.

It is not a de Polignac number, because 4033128961 - 2¹¹ = 4033126913 is a prime.

It is a super-2 number, since 2×4033128961² = 32532258432113879042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4033128961.

It is not a weakly prime, because it can be changed into another prime (4033128901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2016564480 + 2016564481.

It is an arithmetic number, because the mean of its divisors is an integer number (2016564481).

Almost surely, 2^4033128961 is an apocalyptic number.

It is an amenable number.

4033128961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4033128961 is an equidigital number, since it uses as much as digits as its factorization.

4033128961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 4033128961 is about 63506.9205756349. The cubic root of 4033128961 is about 1591.7714208966.

The spelling of 4033128961 in words is "four billion, thirty-three million, one hundred twenty-eight thousand, nine hundred sixty-one".