42229186560 has 720 divisors, whose sum is σ = 164881446912. Its totient is φ = 9909043200.

The previous prime is 42229186529. The next prime is 42229186561. The reversal of 42229186560 is 6568192224.

42229186560 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 9 + 1 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42229186561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332513217 + ... + 332513343.

Almost surely, 2^42229186560 is an apocalyptic number.

42229186560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42229186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82440723456).

42229186560 is an abundant number, since it is smaller than the sum of its proper divisors (122652260352).

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

42229186560 is a wasteful number, since it uses less digits than its factorization.

42229186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42229186560 in words is "forty-two billion, two hundred twenty-nine million, one hundred eighty-six thousand, five hundred sixty".