442200002244 has 384 divisors, whose sum is σ = 1437028798464. Its totient is φ = 102124800000.

The previous prime is 442200002201. The next prime is 442200002267.

442200002244 is nontrivially palindromic in base 10.

442200002244 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44883919 + ... + 44893769.

It is an arithmetic number, because the mean of its divisors is an integer number (3742262496).

Almost surely, 2^442200002244 is an apocalyptic number.

442200002244 is a gapful number since it is divisible by the number (44) 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 442200002244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718514399232).

442200002244 is an abundant number, since it is smaller than the sum of its proper divisors (994828796220).

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

442200002244 is a wasteful number, since it uses less digits than its factorization.

442200002244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10025 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 44220000 and 2244, that added together give a palindrome (44222244).

The spelling of 442200002244 in words is "four hundred forty-two billion, two hundred million, two thousand, two hundred forty-four".