42217707168 has 384 divisors, whose sum is σ = 152680550400. Its totient is φ = 11051375616.

The previous prime is 42217707127. The next prime is 42217707193. The reversal of 42217707168 is 86170771224.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10926805 + ... + 10930667.

It is an arithmetic number, because the mean of its divisors is an integer number (397605600).

Almost surely, 2^42217707168 is an apocalyptic number.

42217707168 is a gapful number since it is divisible by the number (48) 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 42217707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76340275200).

42217707168 is an abundant number, since it is smaller than the sum of its proper divisors (110462843232).

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

42217707168 is a wasteful number, since it uses less digits than its factorization.

42217707168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 42217707168 in words is "forty-two billion, two hundred seventeen million, seven hundred seven thousand, one hundred sixty-eight".