42218136576 has 528 divisors, whose sum is σ = 158720777280. Its totient is φ = 10961879040.

The previous prime is 42218136557. The next prime is 42218136581. The reversal of 42218136576 is 67563181224.

42218136576 is a `hidden beast` number, since 4 + 2 + 218 + 1 + 365 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14900856 + ... + 14903688.

Almost surely, 2^42218136576 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 42218136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79360388640).

42218136576 is an abundant number, since it is smaller than the sum of its proper divisors (116502640704).

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

42218136576 is a wasteful number, since it uses less digits than its factorization.

42218136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887 (or 2856 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42218136576 in words is "forty-two billion, two hundred eighteen million, one hundred thirty-six thousand, five hundred seventy-six".