441101004320 has 96 divisors (see below), whose sum is σ = 1051404230016. Its totient is φ = 174869452800.

The previous prime is 441101004319. The next prime is 441101004451. The reversal of 441101004320 is 23400101144.

It is a super-2 number, since 2×441101004320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 441101004292 and 441101004301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13815575 + ... + 13847465.

It is an arithmetic number, because the mean of its divisors is an integer number (10952127396).

Almost surely, 2^441101004320 is an apocalyptic number.

441101004320 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 441101004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525702115008).

441101004320 is an abundant number, since it is smaller than the sum of its proper divisors (610303225696).

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

441101004320 is a wasteful number, since it uses less digits than its factorization.

441101004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32674 (or 32666 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 441101004320 its reverse (23400101144), we get a palindrome (464501105464).

The spelling of 441101004320 in words is "four hundred forty-one billion, one hundred one million, four thousand, three hundred twenty".