42182938512 has 320 divisors, whose sum is σ = 146843934720. Its totient is φ = 11418278400.

The previous prime is 42182938507. The next prime is 42182938571. The reversal of 42182938512 is 21583928124.

42182938512 is a `hidden beast` number, since 4 + 21 + 82 + 9 + 38 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904043 + ... + 1926069.

It is an arithmetic number, because the mean of its divisors is an integer number (458887296).

Almost surely, 2^42182938512 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 42182938512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73421967360).

42182938512 is an abundant number, since it is smaller than the sum of its proper divisors (104660996208).

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

42182938512 is a wasteful number, since it uses less digits than its factorization.

42182938512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22099 (or 22087 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 42182938512 in words is "forty-two billion, one hundred eighty-two million, nine hundred thirty-eight thousand, five hundred twelve".