4104004441000 has 32 divisors (see below), whose sum is σ = 9603370394280. Its totient is φ = 1641601776000.

The previous prime is 4104004440989. The next prime is 4104004441007. The reversal of 4104004441000 is 1444004014.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1793172740836 + 2310831700164 = 1339094^2 + 1520142^2 .

It is not an unprimeable number, because it can be changed into a prime (4104004441007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2052001221 + ... + 2052003220.

Almost surely, 2^{4104004441000} is an apocalyptic number.

4104004441000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4104004441000 is an abundant number, since it is smaller than the sum of its proper divisors (5499365953280).

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

4104004441000 is a wasteful number, since it uses less digits than its factorization.

4104004441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104004462 (or 4104004448 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 4104004441000 its reverse (1444004014), we get a palindrome (4105448445014).

The spelling of 4104004441000 in words is "four trillion, one hundred four billion, four million, four hundred forty-one thousand".