441112320 has 324 divisors, whose sum is σ = 1693646136. Its totient is φ = 105123840.

The previous prime is 441112291. The next prime is 441112327. The reversal of 441112320 is 23211144.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 441112293 and 441112302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441112327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7476451 + ... + 7476509.

Almost surely, 2^441112320 is an apocalyptic number.

441112320 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 441112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846823068).

441112320 is an abundant number, since it is smaller than the sum of its proper divisors (1252533816).

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

441112320 is a wasteful number, since it uses less digits than its factorization.

441112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 441112320 is about 21002.6741154549. The cubic root of 441112320 is about 761.2308770787.

Adding to 441112320 its reverse (23211144), we get a palindrome (464323464).

The spelling of 441112320 in words is "four hundred forty-one million, one hundred twelve thousand, three hundred twenty".