42242233224224 has 48 divisors (see below), whose sum is σ = 90727486014816. Its totient is φ = 19200445862400.

The previous prime is 42242233224203. The next prime is 42242233224239.

42242233224224 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 10226219 + ... + 13749909.

It is an arithmetic number, because the mean of its divisors is an integer number (1890155958642).

Almost surely, 2^{42242233224224} is an apocalyptic number.

42242233224224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42242233224224 is an abundant number, since it is smaller than the sum of its proper divisors (48485252790592).

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

42242233224224 is a wasteful number, since it uses less digits than its factorization.

42242233224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557769 (or 3557761 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 4224223 and 3224224, that added together give a palindrome (7448447).

The spelling of 42242233224224 in words is "forty-two trillion, two hundred forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, two hundred twenty-four".