42132233402224 has 160 divisors (see below), whose sum is σ = 93972391096320. Its totient is φ = 17925768806400.

The previous prime is 42132233402191. The next prime is 42132233402251. The reversal of 42132233402224 is 42220433223124.

It is a happy number.

42132233402224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42132233402224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9864721209 + ... + 9864725479.

It is an arithmetic number, because the mean of its divisors is an integer number (587327444352).

Almost surely, 2^{42132233402224} is an apocalyptic number.

It is an amenable number.

42132233402224 is an abundant number, since it is smaller than the sum of its proper divisors (51840157694096).

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

42132233402224 is a wasteful number, since it uses less digits than its factorization.

42132233402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5679 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 42132233402224 its reverse (42220433223124), we get a palindrome (84352666625348).

The spelling of 42132233402224 in words is "forty-two trillion, one hundred thirty-two billion, two hundred thirty-three million, four hundred two thousand, two hundred twenty-four".