42318800 has 60 divisors (see below), whose sum is σ = 103880256. Its totient is φ = 16560000.

The previous prime is 42318739. The next prime is 42318823. The reversal of 42318800 is 881324.

42318800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42318800.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17675 + ... + 19925.

Almost surely, 2^42318800 is an apocalyptic number.

42318800 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 42318800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51940128).

42318800 is an abundant number, since it is smaller than the sum of its proper divisors (61561456).

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

42318800 is a wasteful number, since it uses less digits than its factorization.

42318800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 42318800 is about 6505.2901549431. The cubic root of 42318800 is about 348.4799384922.

It can be divided in two parts, 4231 and 8800, that added together give a palindrome (13031).

The spelling of 42318800 in words is "forty-two million, three hundred eighteen thousand, eight hundred".