42427500192 has 384 divisors, whose sum is σ = 159609139200. Its totient is φ = 10639641600.

The previous prime is 42427500179. The next prime is 42427500197. The reversal of 42427500192 is 29100572424.

42427500192 is a `hidden beast` number, since 42 + 4 + 27 + 500 + 1 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42427500197) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1918317 + ... + 1940307.

It is an arithmetic number, because the mean of its divisors is an integer number (415648800).

Almost surely, 2^42427500192 is an apocalyptic number.

42427500192 is a gapful number since it is divisible by the number (42) 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 42427500192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79804569600).

42427500192 is an abundant number, since it is smaller than the sum of its proper divisors (117181639008).

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

42427500192 is a wasteful number, since it uses less digits than its factorization.

42427500192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22057 (or 22043 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 42427500192 in words is "forty-two billion, four hundred twenty-seven million, five hundred thousand, one hundred ninety-two".