42256558096 has 45 divisors (see below), whose sum is σ = 87000159901. Its totient is φ = 19878861056.

The previous prime is 42256558093. The next prime is 42256558159. The reversal of 42256558096 is 69085565224.

The square root of 42256558096 is 205564.

It is a perfect power (a square), and thus also a powerful number.

42256558096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 32898704400 + 9357853696 = 181380^2 + 96736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42256558093) 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, 13976841 + ... + 13979863.

Almost surely, 2^42256558096 is an apocalyptic number.

42256558096 is the 205564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256558096

42256558096 is an abundant number, since it is smaller than the sum of its proper divisors (44743601805).

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

42256558096 is an frugal number, since it uses more digits than its factorization.

42256558096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6088 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 42256558096 in words is "forty-two billion, two hundred fifty-six million, five hundred fifty-eight thousand, ninety-six".