42163200 has 264 divisors, whose sum is σ = 157373360. Its totient is φ = 11059200.

The previous prime is 42163181. The next prime is 42163237. The reversal of 42163200 is 236124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691170 + ... + 691230.

Almost surely, 2^42163200 is an apocalyptic number.

42163200 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 42163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78686680).

42163200 is an abundant number, since it is smaller than the sum of its proper divisors (115210160).

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

42163200 is a wasteful number, since it uses less digits than its factorization.

42163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42163200 is about 6493.3196440650. The cubic root of 42163200 is about 348.0523108046.

Adding to 42163200 its reverse (236124), we get a palindrome (42399324).

The spelling of 42163200 in words is "forty-two million, one hundred sixty-three thousand, two hundred".