404441041120 has 96 divisors (see below), whose sum is σ = 973985033952. Its totient is φ = 158648236032.

The previous prime is 404441041099. The next prime is 404441041127. The reversal of 404441041120 is 21140144404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404441041127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19773619 + ... + 19794061.

It is an arithmetic number, because the mean of its divisors is an integer number (10145677437).

Almost surely, 2^404441041120 is an apocalyptic number.

404441041120 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 404441041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486992516976).

404441041120 is an abundant number, since it is smaller than the sum of its proper divisors (569543992832).

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

404441041120 is a wasteful number, since it uses less digits than its factorization.

404441041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22844 (or 22836 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 404441041120 its reverse (21140144404), we get a palindrome (425581185524).

The spelling of 404441041120 in words is "four hundred four billion, four hundred forty-one million, forty-one thousand, one hundred twenty".