42117200 has 60 divisors (see below), whose sum is σ = 102680928. Its totient is φ = 16598400.

The previous prime is 42117199. The next prime is 42117223. The reversal of 42117200 is 271124.

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, 27659 + ... + 29141.

Almost surely, 2^42117200 is an apocalyptic number.

42117200 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 42117200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51340464).

42117200 is an abundant number, since it is smaller than the sum of its proper divisors (60563728).

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

42117200 is a wasteful number, since it uses less digits than its factorization.

42117200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 42117200 is about 6489.7765755070. The cubic root of 42117200 is about 347.9256898628.

Adding to 42117200 its reverse (271124), we get a palindrome (42388324).

It can be divided in two parts, 4211 and 7200, that added together give a palindrome (11411).

The spelling of 42117200 in words is "forty-two million, one hundred seventeen thousand, two hundred".