42229776096 has 144 divisors (see below), whose sum is σ = 121155181056. Its totient is φ = 13952375808.

The previous prime is 42229776091. The next prime is 42229776119. The reversal of 42229776096 is 69067792224.

42229776096 is a `hidden beast` number, since 4 + 2 + 2 + 29 + 7 + 7 + 609 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42229776091) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19081486 + ... + 19083698.

It is an arithmetic number, because the mean of its divisors is an integer number (841355424).

Almost surely, 2^42229776096 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 42229776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60577590528).

42229776096 is an abundant number, since it is smaller than the sum of its proper divisors (78925404960).

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

42229776096 is a wasteful number, since it uses less digits than its factorization.

42229776096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 42229776096 in words is "forty-two billion, two hundred twenty-nine million, seven hundred seventy-six thousand, ninety-six".