445045344000 has 288 divisors, whose sum is σ = 1479610589184. Its totient is φ = 118567014400.

The previous prime is 445045343867. The next prime is 445045344013. The reversal of 445045344000 is 443540544.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175006729 + ... + 175009271.

It is an arithmetic number, because the mean of its divisors is an integer number (5137536768).

Almost surely, 2^445045344000 is an apocalyptic number.

445045344000 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 445045344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739805294592).

445045344000 is an abundant number, since it is smaller than the sum of its proper divisors (1034565245184).

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

445045344000 is a wasteful number, since it uses less digits than its factorization.

445045344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 445045344000 its reverse (443540544), we get a palindrome (445488884544).

The spelling of 445045344000 in words is "four hundred forty-five billion, forty-five million, three hundred forty-four thousand".