441768834328416 has 192 divisors, whose sum is σ = 1333319416934400. Its totient is φ = 125456619594240.

The previous prime is 441768834328369. The next prime is 441768834328477. The reversal of 441768834328416 is 614823438867144.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2120817231 + ... + 2121025521.

It is an arithmetic number, because the mean of its divisors is an integer number (6944371963200).

Almost surely, 2^{441768834328416} 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 441768834328416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666659708467200).

441768834328416 is an abundant number, since it is smaller than the sum of its proper divisors (891550582605984).

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

441768834328416 is a wasteful number, since it uses less digits than its factorization.

441768834328416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227377 (or 227369 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 69.

The spelling of 441768834328416 in words is "four hundred forty-one trillion, seven hundred sixty-eight billion, eight hundred thirty-four million, three hundred twenty-eight thousand, four hundred sixteen".