441100440 has 384 divisors, whose sum is σ = 1698278400. Its totient is φ = 98165760.

The previous prime is 441100393. The next prime is 441100441. The reversal of 441100440 is 44001144.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441100441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2641237 + ... + 2641403.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^441100440 is an apocalyptic number.

441100440 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 441100440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849139200).

441100440 is an abundant number, since it is smaller than the sum of its proper divisors (1257177960).

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

441100440 is a wasteful number, since it uses less digits than its factorization.

441100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

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

The square root of 441100440 is about 21002.3912924219. The cubic root of 441100440 is about 761.2240432153.

Adding to 441100440 its reverse (44001144), we get a palindrome (485101584).

The spelling of 441100440 in words is "four hundred forty-one million, one hundred thousand, four hundred forty".