42002524008 has 192 divisors, whose sum is σ = 120486787200. Its totient is φ = 13192058880.

The previous prime is 42002524007. The next prime is 42002524037. The reversal of 42002524008 is 80042520024.

It is a happy number.

42002524008 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 252 + 400 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (42002524007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76786791 + ... + 76787337.

It is an arithmetic number, because the mean of its divisors is an integer number (627535350).

Almost surely, 2^42002524008 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 42002524008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60243393600).

42002524008 is an abundant number, since it is smaller than the sum of its proper divisors (78484263192).

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

42002524008 is a wasteful number, since it uses less digits than its factorization.

42002524008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 42002524008 in words is "forty-two billion, two million, five hundred twenty-four thousand, eight".