9960040001 has 2 divisors, whose sum is σ = 9960040002. Its totient is φ = 9960040000.

The previous prime is 9960039977. The next prime is 9960040021. The reversal of 9960040001 is 1000400699.

9960040001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 99800²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9960040000 + 1 = 99800^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 9960040001 - 2²⁶ = 9892931137 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (9960040021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4980020000 + 4980020001.

It is an arithmetic number, because the mean of its divisors is an integer number (4980020001).

Almost surely, 2^9960040001 is an apocalyptic number.

It is an amenable number.

9960040001 is a deficient number, since it is larger than the sum of its proper divisors (1).

9960040001 is an equidigital number, since it uses as much as digits as its factorization.

9960040001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 9960040001 is about 99800.0000050100. Note that the first 5 decimals coincide. The cubic root of 9960040001 is about 2151.5611521385.

The spelling of 9960040001 in words is "nine billion, nine hundred sixty million, forty thousand, one".