42816300241 has 27 divisors (see below), whose sum is σ = 50996460123. Its totient is φ = 35904931920.

The previous prime is 42816300239. The next prime is 42816300251. The reversal of 42816300241 is 14200361824.

The square root of 42816300241 is 206921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6333772225 + 36482528016 = 79585^2 + 191004^2 .

It is not a de Polignac number, because 42816300241 - 2¹ = 42816300239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42816300251) 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 in 26 ways as a sum of consecutive naturals, for example, 29588980 + ... + 29590426.

Almost surely, 2^42816300241 is an apocalyptic number.

42816300241 is the 206921-st square number.

42816300241 is the 103461-st centered octagonal number.

It is an amenable number.

42816300241 is a deficient number, since it is larger than the sum of its proper divisors (8180159882).

42816300241 is an equidigital number, since it uses as much as digits as its factorization.

42816300241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Multiplying 42816300241 by its product of nonzero digits (9216), we get a square (394595023021056 = 19864416²).

The spelling of 42816300241 in words is "forty-two billion, eight hundred sixteen million, three hundred thousand, two hundred forty-one".