444388078080 has 480 divisors, whose sum is σ = 1563451718400. Its totient is φ = 116639170560.

The previous prime is 444388078039. The next prime is 444388078103. The reversal of 444388078080 is 80870883444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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, 472250410 + ... + 472251350.

It is an arithmetic number, because the mean of its divisors is an integer number (3257191080).

Almost surely, 2^444388078080 is an apocalyptic number.

444388078080 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 444388078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781725859200).

444388078080 is an abundant number, since it is smaller than the sum of its proper divisors (1119063640320).

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

444388078080 is a wasteful number, since it uses less digits than its factorization.

444388078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 444388078080 in words is "four hundred forty-four billion, three hundred eighty-eight million, seventy-eight thousand, eighty".