441560104160 has 192 divisors, whose sum is σ = 1222007980032. Its totient is φ = 147642832896.

The previous prime is 441560104147. The next prime is 441560104169. The reversal of 441560104160 is 61401065144.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441560104169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9890849 + ... + 9935391.

It is an arithmetic number, because the mean of its divisors is an integer number (6364624896).

Almost surely, 2^441560104160 is an apocalyptic number.

441560104160 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 441560104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611003990016).

441560104160 is an abundant number, since it is smaller than the sum of its proper divisors (780447875872).

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

441560104160 is a wasteful number, since it uses less digits than its factorization.

441560104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44785 (or 44777 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 441560104160 in words is "four hundred forty-one billion, five hundred sixty million, one hundred four thousand, one hundred sixty".