42709087872 has 768 divisors, whose sum is σ = 150311116800. Its totient is φ = 11496038400.

The previous prime is 42709087871. The next prime is 42709087873. The reversal of 42709087872 is 27878090724.

It is an interprime number because it is at equal distance from previous prime (42709087871) and next prime (42709087873).

It is not an unprimeable number, because it can be changed into a prime (42709087871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262018863 + ... + 262019025.

It is an arithmetic number, because the mean of its divisors is an integer number (195717600).

Almost surely, 2^42709087872 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 42709087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75155558400).

42709087872 is an abundant number, since it is smaller than the sum of its proper divisors (107602028928).

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

42709087872 is a wasteful number, since it uses less digits than its factorization.

42709087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 42709087872 in words is "forty-two billion, seven hundred nine million, eighty-seven thousand, eight hundred seventy-two".