42841008 has 160 divisors (see below), whose sum is σ = 145387520. Its totient is φ = 11819520.

The previous prime is 42840997. The next prime is 42841009. The reversal of 42841008 is 80014824.

42841008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42841009) 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 31 ways as a sum of consecutive naturals, for example, 93516 + ... + 93972.

It is an arithmetic number, because the mean of its divisors is an integer number (908672).

Almost surely, 2^42841008 is an apocalyptic number.

42841008 is a gapful number since it is divisible by the number (48) 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 42841008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72693760).

42841008 is an abundant number, since it is smaller than the sum of its proper divisors (102546512).

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

42841008 is a wasteful number, since it uses less digits than its factorization.

42841008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42841008 is about 6545.3042710022. The cubic root of 42841008 is about 349.9074803072.

The spelling of 42841008 in words is "forty-two million, eight hundred forty-one thousand, eight".