441321013320 has 256 divisors, whose sum is σ = 1511923138560. Its totient is φ = 102076800000.

The previous prime is 441321013253. The next prime is 441321013321. The reversal of 441321013320 is 23310123144.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (441321013321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2829370 + ... + 2981270.

It is an arithmetic number, because the mean of its divisors is an integer number (5905949760).

Almost surely, 2^441321013320 is an apocalyptic number.

441321013320 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 441321013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755961569280).

441321013320 is an abundant number, since it is smaller than the sum of its proper divisors (1070602125240).

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

441321013320 is a wasteful number, since it uses less digits than its factorization.

441321013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152028 (or 152024 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 441321013320 its reverse (23310123144), we get a palindrome (464631136464).

The spelling of 441321013320 in words is "four hundred forty-one billion, three hundred twenty-one million, thirteen thousand, three hundred twenty".