42620172128 has 48 divisors (see below), whose sum is σ = 86305174704. Its totient is φ = 20703121920.

The previous prime is 42620172083. The next prime is 42620172151. The reversal of 42620172128 is 82127102624.

42620172128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774983 + ... + 828153.

It is an arithmetic number, because the mean of its divisors is an integer number (1798024473).

Almost surely, 2^42620172128 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 42620172128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43152587352).

42620172128 is an abundant number, since it is smaller than the sum of its proper divisors (43685002576).

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

42620172128 is a wasteful number, since it uses less digits than its factorization.

42620172128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53895 (or 53887 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 42620172128 in words is "forty-two billion, six hundred twenty million, one hundred seventy-two thousand, one hundred twenty-eight".