42321200 has 60 divisors (see below), whose sum is σ = 104987328. Its totient is φ = 16377600.

The previous prime is 42321193. The next prime is 42321203. The reversal of 42321200 is 212324.

It is not an unprimeable number, because it can be changed into a prime (42321203) 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, 10694 + ... + 14106.

Almost surely, 2^42321200 is an apocalyptic number.

42321200 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 42321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52493664).

42321200 is an abundant number, since it is smaller than the sum of its proper divisors (62666128).

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

42321200 is a wasteful number, since it uses less digits than its factorization.

42321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42321200 is about 6505.4746175817. The cubic root of 42321200 is about 348.4865260770.

Adding to 42321200 its reverse (212324), we get a palindrome (42533524).

The spelling of 42321200 in words is "forty-two million, three hundred twenty-one thousand, two hundred".