442214302200 has 192 divisors, whose sum is σ = 1496031033600. Its totient is φ = 107164569600.

The previous prime is 442214302199. The next prime is 442214302217. The reversal of 442214302200 is 2203412244.

442214302200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20904829 + ... + 20925971.

It is an arithmetic number, because the mean of its divisors is an integer number (7791828300).

Almost surely, 2^442214302200 is an apocalyptic number.

442214302200 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 442214302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748015516800).

442214302200 is an abundant number, since it is smaller than the sum of its proper divisors (1053816731400).

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

442214302200 is a wasteful number, since it uses less digits than its factorization.

442214302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24342 (or 24333 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 442214302200 its reverse (2203412244), we get a palindrome (444417714444).

The spelling of 442214302200 in words is "four hundred forty-two billion, two hundred fourteen million, three hundred two thousand, two hundred".