441405416320 has 256 divisors, whose sum is σ = 1229170567680. Its totient is φ = 149959434240.

The previous prime is 441405416269. The next prime is 441405416327. The reversal of 441405416320 is 23614504144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441405416327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6930862 + ... + 6994258.

It is an arithmetic number, because the mean of its divisors is an integer number (4801447530).

Almost surely, 2^441405416320 is an apocalyptic number.

441405416320 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 441405416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614585283840).

441405416320 is an abundant number, since it is smaller than the sum of its proper divisors (787765151360).

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

441405416320 is a wasteful number, since it uses less digits than its factorization.

441405416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63493 (or 63481 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 441405416320 in words is "four hundred forty-one billion, four hundred five million, four hundred sixteen thousand, three hundred twenty".