441200344222220 has 192 divisors, whose sum is σ = 1071310968604800. Its totient is φ = 151097103360000.

The previous prime is 441200344222201. The next prime is 441200344222223. The reversal of 441200344222220 is 22222443002144.

It is not an unprimeable number, because it can be changed into a prime (441200344222223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1388569370 + ... + 1388887070.

It is an arithmetic number, because the mean of its divisors is an integer number (5579744628150).

Almost surely, 2^{441200344222220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441200344222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535655484302400).

441200344222220 is an abundant number, since it is smaller than the sum of its proper divisors (630110624382580).

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

441200344222220 is a wasteful number, since it uses less digits than its factorization.

441200344222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323100 (or 323098 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 441200344222220 its reverse (22222443002144), we get a palindrome (463422787224364).

The spelling of 441200344222220 in words is "four hundred forty-one trillion, two hundred billion, three hundred forty-four million, two hundred twenty-two thousand, two hundred twenty".