40106586241 has 2 divisors, whose sum is σ = 40106586242. Its totient is φ = 40106586240.

The previous prime is 40106586227. The next prime is 40106586277. The reversal of 40106586241 is 14268560104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20533457025 + 19573129216 = 143295^2 + 139904^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40106586241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40106586241.

It is not a weakly prime, because it can be changed into another prime (40106586211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20053293120 + 20053293121.

It is an arithmetic number, because the mean of its divisors is an integer number (20053293121).

Almost surely, 2^40106586241 is an apocalyptic number.

It is an amenable number.

40106586241 is a deficient number, since it is larger than the sum of its proper divisors (1).

40106586241 is an equidigital number, since it uses as much as digits as its factorization.

40106586241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 40106586241 in words is "forty billion, one hundred six million, five hundred eighty-six thousand, two hundred forty-one".