42218013200 has 360 divisors, whose sum is σ = 115976493696. Its totient is φ = 14747673600.

The previous prime is 42218013181. The next prime is 42218013217. The reversal of 42218013200 is 231081224.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152411462 + ... + 152411738.

Almost surely, 2^42218013200 is an apocalyptic number.

42218013200 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 42218013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57988246848).

42218013200 is an abundant number, since it is smaller than the sum of its proper divisors (73758480496).

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

42218013200 is a wasteful number, since it uses less digits than its factorization.

42218013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 42218013200 its reverse (231081224), we get a palindrome (42449094424).

The spelling of 42218013200 in words is "forty-two billion, two hundred eighteen million, thirteen thousand, two hundred".