444741409728 has 1120 divisors, whose sum is σ = 1716084277248. Its totient is φ = 110518732800.

The previous prime is 444741409669. The next prime is 444741409771. The reversal of 444741409728 is 827904147444.

444741409728 is a `hidden beast` number, since 4 + 4 + 474 + 140 + 9 + 7 + 28 = 666.

444741409728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1571524275 + ... + 1571524557.

Almost surely, 2^444741409728 is an apocalyptic number.

444741409728 is a gapful number since it is divisible by the number (48) 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 444741409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858042138624).

444741409728 is an abundant number, since it is smaller than the sum of its proper divisors (1271342867520).

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

444741409728 is a wasteful number, since it uses less digits than its factorization.

444741409728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 444741409728 in words is "four hundred forty-four billion, seven hundred forty-one million, four hundred nine thousand, seven hundred twenty-eight".