42845066880 has 768 divisors, whose sum is σ = 182513088000. Its totient is φ = 8430428160.

The previous prime is 42845066857. The next prime is 42845066881. The reversal of 42845066880 is 8866054824.

42845066880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42845066881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19661631 + ... + 19663809.

It is an arithmetic number, because the mean of its divisors is an integer number (237647250).

Almost surely, 2^42845066880 is an apocalyptic number.

42845066880 is a gapful number since it is divisible by the number (40) 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 42845066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91256544000).

42845066880 is an abundant number, since it is smaller than the sum of its proper divisors (139668021120).

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

42845066880 is a wasteful number, since it uses less digits than its factorization.

42845066880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 42845066880 in words is "forty-two billion, eight hundred forty-five million, sixty-six thousand, eight hundred eighty".