4441101441000 has 512 divisors, whose sum is σ = 17094061670400. Its totient is φ = 937488921600.

The previous prime is 4441101440959. The next prime is 4441101441031. The reversal of 4441101441000 is 1441011444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13848469 + ... + 14165531.

It is an arithmetic number, because the mean of its divisors is an integer number (33386839200).

Almost surely, 2^{4441101441000} is an apocalyptic number.

4441101441000 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 4441101441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8547030835200).

4441101441000 is an abundant number, since it is smaller than the sum of its proper divisors (12652960229400).

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

4441101441000 is a wasteful number, since it uses less digits than its factorization.

4441101441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317146 (or 317132 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 4441101441000 its reverse (1441011444), we get a palindrome (4442542452444).

The spelling of 4441101441000 in words is "four trillion, four hundred forty-one billion, one hundred one million, four hundred forty-one thousand".