42067326528 has 84 divisors (see below), whose sum is σ = 120641508780. Its totient is φ = 14015102976.

The previous prime is 42067326503. The next prime is 42067326529. The reversal of 42067326528 is 82562376024.

42067326528 is a `hidden beast` number, since 42 + 0 + 67 + 3 + 26 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21524410944 + 20542915584 = 146712^2 + 143328^2 .

It is a super-3 number, since 3×42067326528³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (42067326529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1143688 + ... + 1179896.

Almost surely, 2^42067326528 is an apocalyptic number.

42067326528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42067326528 is an abundant number, since it is smaller than the sum of its proper divisors (78574182252).

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

42067326528 is a wasteful number, since it uses less digits than its factorization.

42067326528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38244 (or 38231 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 42067326528 in words is "forty-two billion, sixty-seven million, three hundred twenty-six thousand, five hundred twenty-eight".