42641857862761 has 2 divisors, whose sum is σ = 42641857862762. Its totient is φ = 42641857862760.

The previous prime is 42641857862719. The next prime is 42641857862789. The reversal of 42641857862761 is 16726875814624.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28951717262400 + 13690140600361 = 5380680^2 + 3700019^2 .

It is a cyclic number.

It is not a de Polignac number, because 42641857862761 - 2²⁷ = 42641723645033 is a prime.

It is not a weakly prime, because it can be changed into another prime (42641857862711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21320928931380 + 21320928931381.

It is an arithmetic number, because the mean of its divisors is an integer number (21320928931381).

Almost surely, 2^{42641857862761} is an apocalyptic number.

It is an amenable number.

42641857862761 is a deficient number, since it is larger than the sum of its proper divisors (1).

42641857862761 is an equidigital number, since it uses as much as digits as its factorization.

42641857862761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216760320, while the sum is 67.

The spelling of 42641857862761 in words is "forty-two trillion, six hundred forty-one billion, eight hundred fifty-seven million, eight hundred sixty-two thousand, seven hundred sixty-one".