40165734231017 has 2 divisors, whose sum is σ = 40165734231018. Its totient is φ = 40165734231016.

The previous prime is 40165734230971. The next prime is 40165734231023. The reversal of 40165734231017 is 71013243756104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27492782142736 + 12672952088281 = 5243356^2 + 3559909^2 .

It is a cyclic number.

It is not a de Polignac number, because 40165734231017 - 2¹² = 40165734226921 is a prime.

It is a super-2 number, since 2×40165734231017² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40165734231067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20082867115508 + 20082867115509.

It is an arithmetic number, because the mean of its divisors is an integer number (20082867115509).

Almost surely, 2^{40165734231017} is an apocalyptic number.

It is an amenable number.

40165734231017 is a deficient number, since it is larger than the sum of its proper divisors (1).

40165734231017 is an equidigital number, since it uses as much as digits as its factorization.

40165734231017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 40165734231017 in words is "forty trillion, one hundred sixty-five billion, seven hundred thirty-four million, two hundred thirty-one thousand, seventeen".