42233422176 has 144 divisors (see below), whose sum is σ = 131094512640. Its totient is φ = 12790690560.

The previous prime is 42233422171. The next prime is 42233422211. The reversal of 42233422176 is 67122433224.

42233422176 is a `hidden beast` number, since 4 + 223 + 3 + 422 + 1 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42233422176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233422171) 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 23 ways as a sum of consecutive naturals, for example, 8611341 + ... + 8616243.

It is an arithmetic number, because the mean of its divisors is an integer number (910378560).

Almost surely, 2^42233422176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42233422176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65547256320).

42233422176 is an abundant number, since it is smaller than the sum of its proper divisors (88861090464).

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

42233422176 is a wasteful number, since it uses less digits than its factorization.

42233422176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7638 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The spelling of 42233422176 in words is "forty-two billion, two hundred thirty-three million, four hundred twenty-two thousand, one hundred seventy-six".