41335624606673 has 2 divisors, whose sum is σ = 41335624606674. Its totient is φ = 41335624606672.

The previous prime is 41335624606643. The next prime is 41335624606709. The reversal of 41335624606673 is 37660642653314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28655808084544 + 12679816522129 = 5353112^2 + 3560873^2 .

It is a cyclic number.

It is not a de Polignac number, because 41335624606673 - 2¹⁶ = 41335624541137 is a prime.

It is a super-2 number, since 2×41335624606673² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41335624606643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20667812303336 + 20667812303337.

It is an arithmetic number, because the mean of its divisors is an integer number (20667812303337).

Almost surely, 2^{41335624606673} is an apocalyptic number.

It is an amenable number.

41335624606673 is a deficient number, since it is larger than the sum of its proper divisors (1).

41335624606673 is an equidigital number, since it uses as much as digits as its factorization.

41335624606673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39191040, while the sum is 56.

The spelling of 41335624606673 in words is "forty-one trillion, three hundred thirty-five billion, six hundred twenty-four million, six hundred six thousand, six hundred seventy-three".