42003300 has 72 divisors (see below), whose sum is σ = 127943200. Its totient is φ = 10609920.

The previous prime is 42003271. The next prime is 42003317. The reversal of 42003300 is 330024.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 2016 + ... + 9384.

Almost surely, 2^42003300 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 42003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63971600).

42003300 is an abundant number, since it is smaller than the sum of its proper divisors (85939900).

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

42003300 is a wasteful number, since it uses less digits than its factorization.

42003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7405 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 42003300 is about 6480.9952939344. The cubic root of 42003300 is about 347.6117681295.

Adding to 42003300 its reverse (330024), we get a palindrome (42333324).

The spelling of 42003300 in words is "forty-two million, three thousand, three hundred".