42417627121 has 2 divisors, whose sum is σ = 42417627122. Its totient is φ = 42417627120.

The previous prime is 42417627107. The next prime is 42417627127. The reversal of 42417627121 is 12172671424.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34136627121 + 8281000000 = 184761^2 + 91000^2 .

It is a cyclic number.

It is not a de Polignac number, because 42417627121 - 2¹¹ = 42417625073 is a prime.

It is not a weakly prime, because it can be changed into another prime (42417627127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21208813560 + 21208813561.

It is an arithmetic number, because the mean of its divisors is an integer number (21208813561).

Almost surely, 2^42417627121 is an apocalyptic number.

It is an amenable number.

42417627121 is a deficient number, since it is larger than the sum of its proper divisors (1).

42417627121 is an equidigital number, since it uses as much as digits as its factorization.

42417627121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37632, while the sum is 37.

The spelling of 42417627121 in words is "forty-two billion, four hundred seventeen million, six hundred twenty-seven thousand, one hundred twenty-one".