445420555104200 has 192 divisors, whose sum is σ = 1116389906629200. Its totient is φ = 164297071411200.

The previous prime is 445420555104169. The next prime is 445420555104227. The reversal of 445420555104200 is 2401555024544.

It can be written as a sum of positive squares in 24 ways, for example, as 47247504237124 + 398173050867076 = 6873682^2 + 19954274^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30053332790 + ... + 30053347610.

Almost surely, 2^{445420555104200} is an apocalyptic number.

445420555104200 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 445420555104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558194953314600).

445420555104200 is an abundant number, since it is smaller than the sum of its proper divisors (670969351525000).

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

445420555104200 is a wasteful number, since it uses less digits than its factorization.

445420555104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25732 (or 25723 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 41.

The spelling of 445420555104200 in words is "four hundred forty-five trillion, four hundred twenty billion, five hundred fifty-five million, one hundred four thousand, two hundred".