42116800 has 84 divisors (see below), whose sum is σ = 113102136. Its totient is φ = 15308800.

The previous prime is 42116797. The next prime is 42116801. The reversal of 42116800 is 861124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (42116801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16404 + ... + 18796.

It is an arithmetic number, because the mean of its divisors is an integer number (1346454).

Almost surely, 2^42116800 is an apocalyptic number.

42116800 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 42116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56551068).

42116800 is an abundant number, since it is smaller than the sum of its proper divisors (70985336).

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

42116800 is a wasteful number, since it uses less digits than its factorization.

42116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 42116800 is about 6489.7457577320. The cubic root of 42116800 is about 347.9245884069.

Adding to 42116800 its reverse (861124), we get a palindrome (42977924).

It can be divided in two parts, 4211 and 6800, that added together give a palindrome (11011).

The spelling of 42116800 in words is "forty-two million, one hundred sixteen thousand, eight hundred".