42685072128 has 432 divisors, whose sum is σ = 131320949760. Its totient is φ = 13318373376.

The previous prime is 42685072109. The next prime is 42685072139. The reversal of 42685072128 is 82127058624.

42685072128 is a `hidden beast` number, since 42 + 68 + 507 + 21 + 28 = 666.

It is a super-3 number, since 3×42685072128³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414418125 + ... + 414418227.

It is an arithmetic number, because the mean of its divisors is an integer number (303983680).

Almost surely, 2^42685072128 is an apocalyptic number.

42685072128 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 42685072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65660474880).

42685072128 is an abundant number, since it is smaller than the sum of its proper divisors (88635877632).

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

42685072128 is a wasteful number, since it uses less digits than its factorization.

42685072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 42685072128 in words is "forty-two billion, six hundred eighty-five million, seventy-two thousand, one hundred twenty-eight".