10041728071 has 2 divisors, whose sum is σ = 10041728072. Its totient is φ = 10041728070.

The previous prime is 10041728069. The next prime is 10041728101. The reversal of 10041728071 is 17082714001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10041728071 - 2¹ = 10041728069 is a prime.

Together with 10041728069, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10041728771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5020864035 + 5020864036.

It is an arithmetic number, because the mean of its divisors is an integer number (5020864036).

Almost surely, 2^10041728071 is an apocalyptic number.

10041728071 is a deficient number, since it is larger than the sum of its proper divisors (1).

10041728071 is an equidigital number, since it uses as much as digits as its factorization.

10041728071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 31.

The spelling of 10041728071 in words is "ten billion, forty-one million, seven hundred twenty-eight thousand, seventy-one".