441550501101120 has 224 divisors, whose sum is σ = 1413608097807360. Its totient is φ = 116767280609280.

The previous prime is 441550501101113. The next prime is 441550501101169. The reversal of 441550501101120 is 21101105055144.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115953805 + ... + 119701235.

It is an arithmetic number, because the mean of its divisors is an integer number (6310750436640).

Almost surely, 2^{441550501101120} is an apocalyptic number.

441550501101120 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 441550501101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706804048903680).

441550501101120 is an abundant number, since it is smaller than the sum of its proper divisors (972057596706240).

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

441550501101120 is a wasteful number, since it uses less digits than its factorization.

441550501101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748473 (or 3748463 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

Adding to 441550501101120 its reverse (21101105055144), we get a palindrome (462651606156264).

The spelling of 441550501101120 in words is "four hundred forty-one trillion, five hundred fifty billion, five hundred one million, one hundred one thousand, one hundred twenty".