42180800 has 84 divisors (see below), whose sum is σ = 106487976. Its totient is φ = 16435200.

The previous prime is 42180773. The next prime is 42180823. The reversal of 42180800 is 808124.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65279 + ... + 65921.

It is an arithmetic number, because the mean of its divisors is an integer number (1267714).

Almost surely, 2^42180800 is an apocalyptic number.

42180800 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 42180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53243988).

42180800 is an abundant number, since it is smaller than the sum of its proper divisors (64307176).

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

42180800 is a wasteful number, since it uses less digits than its factorization.

42180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 42180800 is about 6494.6747416634. The cubic root of 42180800 is about 348.1007327185.

Adding to 42180800 its reverse (808124), we get a palindrome (42988924).

The spelling of 42180800 in words is "forty-two million, one hundred eighty thousand, eight hundred".