42044200 has 96 divisors (see below), whose sum is σ = 110484000. Its totient is φ = 14739200.

The previous prime is 42044183. The next prime is 42044203. The reversal of 42044200 is 244024.

It is not an unprimeable number, because it can be changed into a prime (42044203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63471 + ... + 64129.

It is an arithmetic number, because the mean of its divisors is an integer number (1150875).

Almost surely, 2^42044200 is an apocalyptic number.

42044200 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 42044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55242000).

42044200 is an abundant number, since it is smaller than the sum of its proper divisors (68439800).

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

42044200 is a wasteful number, since it uses less digits than its factorization.

42044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42044200 is about 6484.1499057317. The cubic root of 42044200 is about 347.7245585467.

Adding to 42044200 its reverse (244024), we get a palindrome (42288224).

The spelling of 42044200 in words is "forty-two million, forty-four thousand, two hundred".