441305444992 has 64 divisors (see below), whose sum is σ = 930281126400. Its totient is φ = 207944755200.

The previous prime is 441305444981. The next prime is 441305445001. The reversal of 441305444992 is 299444503144.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×441305444992³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10509 + ... + 939532.

It is an arithmetic number, because the mean of its divisors is an integer number (14535642600).

Almost surely, 2^441305444992 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 441305444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465140563200).

441305444992 is an abundant number, since it is smaller than the sum of its proper divisors (488975681408).

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

441305444992 is a wasteful number, since it uses less digits than its factorization.

441305444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950265 (or 950253 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 441305444992 in words is "four hundred forty-one billion, three hundred five million, four hundred forty-four thousand, nine hundred ninety-two".