42016420993 has 2 divisors, whose sum is σ = 42016420994. Its totient is φ = 42016420992.

The previous prime is 42016420981. The next prime is 42016420997. The reversal of 42016420993 is 39902461024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42013520784 + 2900209 = 204972^2 + 1703^2 .

It is a cyclic number.

It is not a de Polignac number, because 42016420993 - 2⁵ = 42016420961 is a prime.

It is a super-2 number, since 2×42016420993² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42016420997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21008210496 + 21008210497.

It is an arithmetic number, because the mean of its divisors is an integer number (21008210497).

Almost surely, 2^42016420993 is an apocalyptic number.

It is an amenable number.

42016420993 is a deficient number, since it is larger than the sum of its proper divisors (1).

42016420993 is an equidigital number, since it uses as much as digits as its factorization.

42016420993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 42016420993 in words is "forty-two billion, sixteen million, four hundred twenty thousand, nine hundred ninety-three".