42008880 has 80 divisors (see below), whose sum is σ = 131464800. Its totient is φ = 11096064.

The previous prime is 42008843. The next prime is 42008881. The reversal of 42008880 is 8880024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42008881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26346 + ... + 27894.

It is an arithmetic number, because the mean of its divisors is an integer number (1643310).

Almost surely, 2^42008880 is an apocalyptic number.

42008880 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 42008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65732400).

42008880 is an abundant number, since it is smaller than the sum of its proper divisors (89455920).

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

42008880 is a wasteful number, since it uses less digits than its factorization.

42008880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 42008880 is about 6481.4257690727. The cubic root of 42008880 is about 347.6271604739.

The spelling of 42008880 in words is "forty-two million, eight thousand, eight hundred eighty".