40634054122729 has 2 divisors, whose sum is σ = 40634054122730. Its totient is φ = 40634054122728.

The previous prime is 40634054122663. The next prime is 40634054122771. The reversal of 40634054122729 is 92722145043604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39673017017104 + 961037105625 = 6298652^2 + 980325^2 .

It is a cyclic number.

It is not a de Polignac number, because 40634054122729 - 2¹⁹ = 40634053598441 is a prime.

It is a super-2 number, since 2×40634054122729² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40634054132729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20317027061364 + 20317027061365.

It is an arithmetic number, because the mean of its divisors is an integer number (20317027061365).

Almost surely, 2^{40634054122729} is an apocalyptic number.

It is an amenable number.

40634054122729 is a deficient number, since it is larger than the sum of its proper divisors (1).

40634054122729 is an equidigital number, since it uses as much as digits as its factorization.

40634054122729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 40634054122729 in words is "forty trillion, six hundred thirty-four billion, fifty-four million, one hundred twenty-two thousand, seven hundred twenty-nine".