441383100288 has 128 divisors (see below), whose sum is σ = 1268175726720. Its totient is φ = 135211554816.

The previous prime is 441383100287. The next prime is 441383100293. The reversal of 441383100288 is 882001383144.

441383100288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441383100281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938431 + ... + 1327937.

It is an arithmetic number, because the mean of its divisors is an integer number (9907622865).

Almost surely, 2^441383100288 is an apocalyptic number.

441383100288 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 441383100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634087863360).

441383100288 is an abundant number, since it is smaller than the sum of its proper divisors (826792626432).

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

441383100288 is a wasteful number, since it uses less digits than its factorization.

441383100288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389764 (or 389752 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 441383100288 in words is "four hundred forty-one billion, three hundred eighty-three million, one hundred thousand, two hundred eighty-eight".