441101441000 has 192 divisors, whose sum is σ = 1137559999680. Its totient is φ = 158772000000.

The previous prime is 441101440991. The next prime is 441101441057. The reversal of 441101441000 is 144101144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112209035 + ... + 112212965.

It is an arithmetic number, because the mean of its divisors is an integer number (5924791665).

Almost surely, 2^441101441000 is an apocalyptic number.

441101441000 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 441101441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568779999840).

441101441000 is an abundant number, since it is smaller than the sum of its proper divisors (696458558680).

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

441101441000 is a wasteful number, since it uses less digits than its factorization.

441101441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 441101441000 its reverse (144101144), we get a palindrome (441245542144).

It can be divided in two parts, 44110144 and 1000, that added together give a palindrome (44111144).

The spelling of 441101441000 in words is "four hundred forty-one billion, one hundred one million, four hundred forty-one thousand".