42209184 has 96 divisors (see below), whose sum is σ = 118601280. Its totient is φ = 13105152.

The previous prime is 42209183. The next prime is 42209191. The reversal of 42209184 is 48190224.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42209183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132994 + ... + 133310.

It is an arithmetic number, because the mean of its divisors is an integer number (1235430).

Almost surely, 2^42209184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42209184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59300640).

42209184 is an abundant number, since it is smaller than the sum of its proper divisors (76392096).

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

42209184 is a wasteful number, since it uses less digits than its factorization.

42209184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 42209184 is about 6496.8595490437. The cubic root of 42209184 is about 348.1787956902.

The spelling of 42209184 in words is "forty-two million, two hundred nine thousand, one hundred eighty-four".