445501221960 has 128 divisors (see below), whose sum is σ = 1380886963200. Its totient is φ = 114862202880.

The previous prime is 445501221959. The next prime is 445501221967. The reversal of 445501221960 is 69122105544.

445501221960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (445501221967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4026256 + ... + 4135424.

It is an arithmetic number, because the mean of its divisors is an integer number (10788179400).

Almost surely, 2^445501221960 is an apocalyptic number.

445501221960 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 445501221960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690443481600).

445501221960 is an abundant number, since it is smaller than the sum of its proper divisors (935385741240).

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

445501221960 is a wasteful number, since it uses less digits than its factorization.

445501221960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110311 (or 110307 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 445501221960 in words is "four hundred forty-five billion, five hundred one million, two hundred twenty-one thousand, nine hundred sixty".