42281618224 has 40 divisors (see below), whose sum is σ = 82124408880. Its totient is φ = 21088300800.

The previous prime is 42281618219. The next prime is 42281618227.

42281618224 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42281618227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14040879 + ... + 14043889.

It is an arithmetic number, because the mean of its divisors is an integer number (2053110222).

Almost surely, 2^42281618224 is an apocalyptic number.

It is an amenable number.

42281618224 is a deficient number, since it is larger than the sum of its proper divisors (39842790656).

42281618224 is a wasteful number, since it uses less digits than its factorization.

42281618224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4909 (or 4903 counting only the distinct ones).

The product of its digits is 98304, while the sum is 40.

The spelling of 42281618224 in words is "forty-two billion, two hundred eighty-one million, six hundred eighteen thousand, two hundred twenty-four".