441545794560 has 264 divisors, whose sum is σ = 1647634967160. Its totient is φ = 108688048128.

The previous prime is 441545794511. The next prime is 441545794579. The reversal of 441545794560 is 65497545144.

441545794560 is a `hidden beast` number, since 4 + 4 + 1 + 5 + 4 + 5 + 79 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21517369344 + 420028425216 = 146688^2 + 648096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 441545794497 and 441545794506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230496 + ... + 967584.

Almost surely, 2^441545794560 is an apocalyptic number.

441545794560 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 441545794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823817483580).

441545794560 is an abundant number, since it is smaller than the sum of its proper divisors (1206089172600).

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

441545794560 is a wasteful number, since it uses less digits than its factorization.

441545794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737133 (or 737112 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 441545794560 in words is "four hundred forty-one billion, five hundred forty-five million, seven hundred ninety-four thousand, five hundred sixty".