441142320 has 160 divisors (see below), whose sum is σ = 1414195200. Its totient is φ = 113697792.

The previous prime is 441142319. The next prime is 441142321. The reversal of 441142320 is 23241144.

It is an interprime number because it is at equal distance from previous prime (441142319) and next prime (441142321).

It is not an unprimeable number, because it can be changed into a prime (441142321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1004661 + ... + 1005099.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^441142320 is an apocalyptic number.

441142320 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 441142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707097600).

441142320 is an abundant number, since it is smaller than the sum of its proper divisors (973052880).

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

441142320 is a wasteful number, since it uses less digits than its factorization.

441142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441142320 is about 21003.3882980818. The cubic root of 441142320 is about 761.2481337634.

Adding to 441142320 its reverse (23241144), we get a palindrome (464383464).

The spelling of 441142320 in words is "four hundred forty-one million, one hundred forty-two thousand, three hundred twenty".