441040410 has 256 divisors, whose sum is σ = 1327104000. Its totient is φ = 103783680.

The previous prime is 441040409. The next prime is 441040417. The reversal of 441040410 is 14040144.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (441040417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5582751 + ... + 5582829.

It is an arithmetic number, because the mean of its divisors is an integer number (5184000).

Almost surely, 2^441040410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441040410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663552000).

441040410 is an abundant number, since it is smaller than the sum of its proper divisors (886063590).

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

441040410 is a wasteful number, since it uses less digits than its factorization.

441040410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 441040410 is about 21000.9621208172. The cubic root of 441040410 is about 761.1895096199.

Adding to 441040410 its reverse (14040144), we get a palindrome (455080554).

The spelling of 441040410 in words is "four hundred forty-one million, forty thousand, four hundred ten".