441140004 has 108 divisors (see below), whose sum is σ = 1198497300. Its totient is φ = 136774656.

The previous prime is 441140003. The next prime is 441140047. The reversal of 441140004 is 400041144.

It can be written as a sum of positive squares in 6 ways, for example, as 28643904 + 412496100 = 5352^2 + 20310^2 .

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 (441140003) 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, 1133842 + ... + 1134230.

Almost surely, 2^441140004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441140004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599248650).

441140004 is an abundant number, since it is smaller than the sum of its proper divisors (757357296).

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

441140004 is a wasteful number, since it uses less digits than its factorization.

441140004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 520 counting only the distinct ones).

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

The square root of 441140004 is about 21003.3331640480. Note that the first 3 decimals coincide. The cubic root of 441140004 is about 761.2468015752.

Adding to 441140004 its reverse (400041144), we get a palindrome (841181148).

The spelling of 441140004 in words is "four hundred forty-one million, one hundred forty thousand, four".