444314122020 has 144 divisors (see below), whose sum is σ = 1381152689280. Its totient is φ = 115581869568.

The previous prime is 444314121983. The next prime is 444314122039. The reversal of 444314122020 is 20221413444.

444314122020 is a `hidden beast` number, since 4 + 4 + 43 + 1 + 412 + 202 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1063336 + ... + 1421024.

It is an arithmetic number, because the mean of its divisors is an integer number (9591338120).

Almost surely, 2^444314122020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444314122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690576344640).

444314122020 is an abundant number, since it is smaller than the sum of its proper divisors (936838567260).

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

444314122020 is a wasteful number, since it uses less digits than its factorization.

444314122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357874 (or 357869 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 444314122020 its reverse (20221413444), we get a palindrome (464535535464).

The spelling of 444314122020 in words is "four hundred forty-four billion, three hundred fourteen million, one hundred twenty-two thousand, twenty".