42826640128 has 108 divisors (see below), whose sum is σ = 88022100600. Its totient is φ = 20793163776.

The previous prime is 42826640117. The next prime is 42826640147. The reversal of 42826640128 is 82104662824.

It is a super-2 number, since 2×42826640128² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95382048 + ... + 95382496.

It is an arithmetic number, because the mean of its divisors is an integer number (815019450).

Almost surely, 2^42826640128 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 42826640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44011050300).

42826640128 is an abundant number, since it is smaller than the sum of its proper divisors (45195460472).

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

42826640128 is an frugal number, since it uses more digits than its factorization.

42826640128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 42826640128 in words is "forty-two billion, eight hundred twenty-six million, six hundred forty thousand, one hundred twenty-eight".