40727832428329 has 2 divisors, whose sum is σ = 40727832428330. Its totient is φ = 40727832428328.

The previous prime is 40727832428299. The next prime is 40727832428347. The reversal of 40727832428329 is 92382423872704.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37627820759104 + 3100011669225 = 6134152^2 + 1760685^2 .

It is a cyclic number.

It is not a de Polignac number, because 40727832428329 - 2²⁵ = 40727798873897 is a prime.

It is not a weakly prime, because it can be changed into another prime (40727832428929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20363916214164 + 20363916214165.

It is an arithmetic number, because the mean of its divisors is an integer number (20363916214165).

Almost surely, 2^{40727832428329} is an apocalyptic number.

It is an amenable number.

40727832428329 is a deficient number, since it is larger than the sum of its proper divisors (1).

40727832428329 is an equidigital number, since it uses as much as digits as its factorization.

40727832428329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65028096, while the sum is 61.

The spelling of 40727832428329 in words is "forty trillion, seven hundred twenty-seven billion, eight hundred thirty-two million, four hundred twenty-eight thousand, three hundred twenty-nine".