441404505000 has 640 divisors, whose sum is σ = 1636576128000. Its totient is φ = 109952640000.

The previous prime is 441404504999. The next prime is 441404505023. The reversal of 441404505000 is 505404144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121363182 + ... + 121366818.

It is an arithmetic number, because the mean of its divisors is an integer number (2557150200).

Almost surely, 2^441404505000 is an apocalyptic number.

441404505000 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 441404505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818288064000).

441404505000 is an abundant number, since it is smaller than the sum of its proper divisors (1195171623000).

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

441404505000 is a wasteful number, since it uses less digits than its factorization.

441404505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 441404505000 its reverse (505404144), we get a palindrome (441909909144).

The spelling of 441404505000 in words is "four hundred forty-one billion, four hundred four million, five hundred five thousand".