4044398380800 has 432 divisors, whose sum is σ = 13615552403040. Its totient is φ = 1056964608000.

The previous prime is 4044398380753. The next prime is 4044398380829. The reversal of 4044398380800 is 80838934404.

4044398380800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 329101056 + ... + 329113344.

Almost surely, 2^{4044398380800} is an apocalyptic number.

4044398380800 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 4044398380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807776201520).

4044398380800 is an abundant number, since it is smaller than the sum of its proper divisors (9571154022240).

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

4044398380800 is a wasteful number, since it uses less digits than its factorization.

4044398380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 4044398380800 in words is "four trillion, forty-four billion, three hundred ninety-eight million, three hundred eighty thousand, eight hundred".