42091200 has 252 divisors, whose sum is σ = 155590240. Its totient is φ = 10782720.

The previous prime is 42091199. The next prime is 42091207. The reversal of 42091200 is 219024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42091207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532761 + ... + 532839.

Almost surely, 2^42091200 is an apocalyptic number.

42091200 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 42091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77795120).

42091200 is an abundant number, since it is smaller than the sum of its proper divisors (113499040).

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

42091200 is a wasteful number, since it uses less digits than its factorization.

42091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42091200 is about 6487.7731156384. The cubic root of 42091200 is about 347.8540807180.

The spelling of 42091200 in words is "forty-two million, ninety-one thousand, two hundred".