42084881316 has 189 divisors, whose sum is σ = 115240915153. Its totient is φ = 13441165920.

The previous prime is 42084881309. The next prime is 42084881317. The reversal of 42084881316 is 61318848024.

The square root of 42084881316 is 205146.

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., 22068290916 + 20016590400 = 148554^2 + 141480^2 .

It is a super-2 number, since 2×42084881316² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42084881317) 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 62 ways as a sum of consecutive naturals, for example, 321258571 + ... + 321258701.

Almost surely, 2^42084881316 is an apocalyptic number.

42084881316 is the 205146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42084881316

42084881316 is an abundant number, since it is smaller than the sum of its proper divisors (73156033837).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42084881316 is an equidigital number, since it uses as much as digits as its factorization.

42084881316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 42084881316 in words is "forty-two billion, eighty-four million, eight hundred eighty-one thousand, three hundred sixteen".