42216000 has 112 divisors (see below), whose sum is σ = 139476480. Its totient is φ = 11251200.

The previous prime is 42215989. The next prime is 42216007. The reversal of 42216000 is 61224.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23121 + ... + 24879.

Almost surely, 2^42216000 is an apocalyptic number.

42216000 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 42216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69738240).

42216000 is an abundant number, since it is smaller than the sum of its proper divisors (97260480).

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

42216000 is a wasteful number, since it uses less digits than its factorization.

42216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42216000 is about 6497.3840890007. The cubic root of 42216000 is about 348.1975361531.

Adding to 42216000 its reverse (61224), we get a palindrome (42277224).

The spelling of 42216000 in words is "forty-two million, two hundred sixteen thousand".