42128640528 has 80 divisors (see below), whose sum is σ = 117707466240. Its totient is φ = 12906980352.

The previous prime is 42128640509. The next prime is 42128640539. The reversal of 42128640528 is 82504682124.

It is a self number, because there is not a number n which added to its sum of digits gives 42128640528.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513 + ... + 290271.

It is an arithmetic number, because the mean of its divisors is an integer number (1471343328).

Almost surely, 2^42128640528 is an apocalyptic number.

42128640528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42128640528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58853733120).

42128640528 is an abundant number, since it is smaller than the sum of its proper divisors (75578825712).

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

42128640528 is a wasteful number, since it uses less digits than its factorization.

42128640528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290016 (or 290010 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 42128640528 in words is "forty-two billion, one hundred twenty-eight million, six hundred forty thousand, five hundred twenty-eight".