42241000 has 64 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 16556800.

The previous prime is 42240977. The next prime is 42241027. The reversal of 42241000 is 14224.

It can be written as a sum of positive squares in 8 ways, for example, as 3378244 + 38862756 = 1838^2 + 6234^2 .

It is an unprimeable number.

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, 52602 + ... + 53398.

Almost surely, 2^42241000 is an apocalyptic number.

42241000 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 42241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

42241000 is an abundant number, since it is smaller than the sum of its proper divisors (58594280).

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

42241000 is a wasteful number, since it uses less digits than its factorization.

42241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 857 counting only the distinct ones).

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

The square root of 42241000 is about 6499.3076554353. The cubic root of 42241000 is about 348.2662559168.

Adding to 42241000 its reverse (14224), we get a palindrome (42255224).

The spelling of 42241000 in words is "forty-two million, two hundred forty-one thousand".