42042200 has 48 divisors (see below), whose sum is σ = 100916160. Its totient is φ = 16272000.

The previous prime is 42042191. The next prime is 42042211. The reversal of 42042200 is 224024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2810 + ... + 9590.

It is an arithmetic number, because the mean of its divisors is an integer number (2102420).

Almost surely, 2^42042200 is an apocalyptic number.

42042200 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 42042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50458080).

42042200 is an abundant number, since it is smaller than the sum of its proper divisors (58873960).

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

42042200 is a wasteful number, since it uses less digits than its factorization.

42042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42042200 is about 6483.9956816765. The cubic root of 42042200 is about 347.7190448243.

Adding to 42042200 its reverse (224024), we get a palindrome (42266224).

The spelling of 42042200 in words is "forty-two million, forty-two thousand, two hundred".