4441328713728 has 504 divisors, whose sum is σ = 13584595240188. Its totient is φ = 1450853793792.

The previous prime is 4441328713693. The next prime is 4441328713741. The reversal of 4441328713728 is 8273178231444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4045697777664 + 395630936064 = 2011392^2 + 628992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5064228426 + ... + 5064229302.

Almost surely, 2^{4441328713728} is an apocalyptic number.

4441328713728 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 4441328713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792297620094).

4441328713728 is an abundant number, since it is smaller than the sum of its proper divisors (9143266526460).

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

4441328713728 is an frugal number, since it uses more digits than its factorization.

4441328713728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 935 counting only the distinct ones).

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

The spelling of 4441328713728 in words is "four trillion, four hundred forty-one billion, three hundred twenty-eight million, seven hundred thirteen thousand, seven hundred twenty-eight".