444897798444 has 144 divisors (see below), whose sum is σ = 1300087545120. Its totient is φ = 126781470720.

The previous prime is 444897798407. The next prime is 444897798463.

444897798444 is a `hidden beast` number, since 4 + 4 + 4 + 8 + 97 + 7 + 98 + 444 = 666.

444897798444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444897798444² (a number of 24 digits) contains 22 as substring.

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, 8246742 + ... + 8300514.

It is an arithmetic number, because the mean of its divisors is an integer number (9028385730).

Almost surely, 2^444897798444 is an apocalyptic number.

444897798444 is a gapful number since it is divisible by the number (44) 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 444897798444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650043772560).

444897798444 is an abundant number, since it is smaller than the sum of its proper divisors (855189746676).

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

444897798444 is a wasteful number, since it uses less digits than its factorization.

444897798444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55040 (or 55035 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 444897798444 in words is "four hundred forty-four billion, eight hundred ninety-seven million, seven hundred ninety-eight thousand, four hundred forty-four".