42444192 has 96 divisors (see below), whose sum is σ = 130032000. Its totient is φ = 12117504.

The previous prime is 42444191. The next prime is 42444203. The reversal of 42444192 is 29144424.

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 (42444191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32284 + ... + 33572.

It is an arithmetic number, because the mean of its divisors is an integer number (1354500).

Almost surely, 2^42444192 is an apocalyptic number.

42444192 is a gapful number since it is divisible by the number (42) 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 42444192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65016000).

42444192 is an abundant number, since it is smaller than the sum of its proper divisors (87587808).

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

42444192 is a wasteful number, since it uses less digits than its factorization.

42444192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1301 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42444192 is about 6514.9207209298. The cubic root of 42444192 is about 348.8237849561.

The spelling of 42444192 in words is "forty-two million, four hundred forty-four thousand, one hundred ninety-two".