445041205005000 has 320 divisors, whose sum is σ = 1395780897139200. Its totient is φ = 118211109120000.

The previous prime is 445041205004983. The next prime is 445041205005011. The reversal of 445041205005000 is 500502140544.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6483760681 + ... + 6483829319.

It is an arithmetic number, because the mean of its divisors is an integer number (4361815303560).

Almost surely, 2^{445041205005000} is an apocalyptic number.

445041205005000 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 445041205005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697890448569600).

445041205005000 is an abundant number, since it is smaller than the sum of its proper divisors (950739692134200).

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

445041205005000 is a wasteful number, since it uses less digits than its factorization.

445041205005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70362 (or 70343 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 445041205005000 its reverse (500502140544), we get a palindrome (445541707145544).

The spelling of 445041205005000 in words is "four hundred forty-five trillion, forty-one billion, two hundred five million, five thousand".