42016420961 has 2 divisors, whose sum is σ = 42016420962. Its totient is φ = 42016420960.

The previous prime is 42016420939. The next prime is 42016420969. The reversal of 42016420961 is 16902461024.

42016420961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37148707600 + 4867713361 = 192740^2 + 69769^2 .

It is a cyclic number.

It is not a de Polignac number, because 42016420961 - 2¹⁸ = 42016158817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (42016420969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21008210480 + 21008210481.

It is an arithmetic number, because the mean of its divisors is an integer number (21008210481).

Almost surely, 2^42016420961 is an apocalyptic number.

It is an amenable number.

42016420961 is a deficient number, since it is larger than the sum of its proper divisors (1).

42016420961 is an equidigital number, since it uses as much as digits as its factorization.

42016420961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 42016420961 its reverse (16902461024), we get a palindrome (58918881985).

The spelling of 42016420961 in words is "forty-two billion, sixteen million, four hundred twenty thousand, nine hundred sixty-one".