42085200 has 120 divisors (see below), whose sum is σ = 142812288. Its totient is φ = 10557440.

The previous prime is 42085187. The next prime is 42085207. The reversal of 42085200 is 258024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19369 + ... + 21431.

Almost surely, 2^42085200 is an apocalyptic number.

42085200 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 42085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71406144).

42085200 is an abundant number, since it is smaller than the sum of its proper divisors (100727088).

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

42085200 is a wasteful number, since it uses less digits than its factorization.

42085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42085200 is about 6487.3106908795. The cubic root of 42085200 is about 347.8375513431.

The spelling of 42085200 in words is "forty-two million, eighty-five thousand, two hundred".