4448008008444 has 576 divisors, whose sum is σ = 14428975841280. Its totient is φ = 1037171520000.

The previous prime is 4448008008373. The next prime is 4448008008463.

4448008008444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4448008008444² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4448008008393 and 4448008008402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1426099117 + ... + 1426102235.

It is an arithmetic number, because the mean of its divisors is an integer number (25050305280).

Almost surely, 2^{4448008008444} is an apocalyptic number.

4448008008444 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 4448008008444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214487920640).

4448008008444 is an abundant number, since it is smaller than the sum of its proper divisors (9980967832836).

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

4448008008444 is a wasteful number, since it uses less digits than its factorization.

4448008008444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 4448008008444 in words is "four trillion, four hundred forty-eight billion, eight million, eight thousand, four hundred forty-four".