42416461 has 2 divisors, whose sum is σ = 42416462. Its totient is φ = 42416460.

The previous prime is 42416459. The next prime is 42416501. The reversal of 42416461 is 16461424.

42416461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31427236 + 10989225 = 5606^2 + 3315^2 .

It is a cyclic number.

It is not a de Polignac number, because 42416461 - 2¹ = 42416459 is a prime.

Together with 42416459, it forms a pair of twin primes.

It is equal to p_2571409 and since 42416461 and 2571409 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42416261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21208230 + 21208231.

It is an arithmetic number, because the mean of its divisors is an integer number (21208231).

Almost surely, 2^42416461 is an apocalyptic number.

It is an amenable number.

42416461 is a deficient number, since it is larger than the sum of its proper divisors (1).

42416461 is an equidigital number, since it uses as much as digits as its factorization.

42416461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 28.

The square root of 42416461 is about 6512.7921047735. The cubic root of 42416461 is about 348.7478001600.

Adding to 42416461 its reverse (16461424), we get a palindrome (58877885).

The spelling of 42416461 in words is "forty-two million, four hundred sixteen thousand, four hundred sixty-one".