42855405138 has 96 divisors (see below), whose sum is σ = 114329779200. Its totient is φ = 11297708928.

The previous prime is 42855405133. The next prime is 42855405163. The reversal of 42855405138 is 83150455824.

42855405138 is a `hidden beast` number, since 4 + 2 + 85 + 54 + 0 + 513 + 8 = 666.

42855405138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42855405093 and 42855405102.

It is not an unprimeable number, because it can be changed into a prime (42855405133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5498148 + ... + 5505936.

It is an arithmetic number, because the mean of its divisors is an integer number (1190935200).

Almost surely, 2^42855405138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42855405138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57164889600).

42855405138 is an abundant number, since it is smaller than the sum of its proper divisors (71474374062).

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

42855405138 is a wasteful number, since it uses less digits than its factorization.

42855405138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11176 (or 11173 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 42855405138 in words is "forty-two billion, eight hundred fifty-five million, four hundred five thousand, one hundred thirty-eight".