441304367616 has 960 divisors, whose sum is σ = 1694471011200. Its totient is φ = 112368549888.

The previous prime is 441304367587. The next prime is 441304367641. The reversal of 441304367616 is 616763403144.

441304367616 is a `hidden beast` number, since 4 + 4 + 130 + 436 + 76 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218791440 + ... + 218793456.

It is an arithmetic number, because the mean of its divisors is an integer number (1765073970).

Almost surely, 2^441304367616 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 441304367616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847235505600).

441304367616 is an abundant number, since it is smaller than the sum of its proper divisors (1253166643584).

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

441304367616 is a wasteful number, since it uses less digits than its factorization.

441304367616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 441304367616 in words is "four hundred forty-one billion, three hundred four million, three hundred sixty-seven thousand, six hundred sixteen".