42201300 has 144 divisors (see below), whose sum is σ = 129491712. Its totient is φ = 10598400.

The previous prime is 42201287. The next prime is 42201307. The reversal of 42201300 is 310224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578064 + ... + 578136.

It is an arithmetic number, because the mean of its divisors is an integer number (899248).

Almost surely, 2^42201300 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 42201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745856).

42201300 is an abundant number, since it is smaller than the sum of its proper divisors (87290412).

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

42201300 is a wasteful number, since it uses less digits than its factorization.

42201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 42201300 is about 6496.2527660183. The cubic root of 42201300 is about 348.1571162649.

Adding to 42201300 its reverse (310224), we get a palindrome (42511524).

The spelling of 42201300 in words is "forty-two million, two hundred one thousand, three hundred".