40758905685041 has 2 divisors, whose sum is σ = 40758905685042. Its totient is φ = 40758905685040.

The previous prime is 40758905684977. The next prime is 40758905685061. The reversal of 40758905685041 is 14058650985704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39896858428816 + 862047256225 = 6316396^2 + 928465^2 .

It is a cyclic number.

It is not a de Polignac number, because 40758905685041 - 2⁶ = 40758905684977 is a prime.

It is a super-2 number, since 2×40758905685041² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40758905685061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20379452842520 + 20379452842521.

It is an arithmetic number, because the mean of its divisors is an integer number (20379452842521).

Almost surely, 2^{40758905685041} is an apocalyptic number.

It is an amenable number.

40758905685041 is a deficient number, since it is larger than the sum of its proper divisors (1).

40758905685041 is an equidigital number, since it uses as much as digits as its factorization.

40758905685041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384000, while the sum is 62.

The spelling of 40758905685041 in words is "forty trillion, seven hundred fifty-eight billion, nine hundred five million, six hundred eighty-five thousand, forty-one".