42240455168 has 90 divisors (see below), whose sum is σ = 87507418977. Its totient is φ = 20369172480.

The previous prime is 42240455161. The next prime is 42240455177. The reversal of 42240455168 is 86155404224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 30655807744 + 11584647424 = 175088^2 + 107632^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=145328.

It is not an unprimeable number, because it can be changed into a prime (42240455161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144165230 + ... + 144165522.

Almost surely, 2^42240455168 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 42240455168

42240455168 is an abundant number, since it is smaller than the sum of its proper divisors (45266963809).

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

42240455168 is an frugal number, since it uses more digits than its factorization.

42240455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 41.

The spelling of 42240455168 in words is "forty-two billion, two hundred forty million, four hundred fifty-five thousand, one hundred sixty-eight".