42241200 has 60 divisors (see below), whose sum is σ = 135316488. Its totient is φ = 11264000.

The previous prime is 42241187. The next prime is 42241207. The reversal of 42241200 is 214224.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42241200.

It is not an unprimeable number, because it can be changed into a prime (42241207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16401 + ... + 18800.

Almost surely, 2^42241200 is an apocalyptic number.

42241200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42241200 is an abundant number, since it is smaller than the sum of its proper divisors (93075288).

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

42241200 is a wasteful number, since it uses less digits than its factorization.

42241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35222 (or 35211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42241200 is about 6499.3230416713. The cubic root of 42241200 is about 348.2668055656.

Adding to 42241200 its reverse (214224), we get a palindrome (42455424).

The spelling of 42241200 in words is "forty-two million, two hundred forty-one thousand, two hundred".