42041200 has 60 divisors (see below), whose sum is σ = 102719368. Its totient is φ = 16531200.

The previous prime is 42041183. The next prime is 42041231. The reversal of 42041200 is 214024.

42041200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 23539 + ... + 25261.

Almost surely, 2^42041200 is an apocalyptic number.

42041200 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 42041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51359684).

42041200 is an abundant number, since it is smaller than the sum of its proper divisors (60678168).

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

42041200 is a wasteful number, since it uses less digits than its factorization.

42041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 42041200 is about 6483.9185682734. The cubic root of 42041200 is about 347.7162878975.

Adding to 42041200 its reverse (214024), we get a palindrome (42255224).

The spelling of 42041200 in words is "forty-two million, forty-one thousand, two hundred".