441100001144 has 64 divisors (see below), whose sum is σ = 911502028800. Its totient is φ = 198445392000.

The previous prime is 441100001141. The next prime is 441100001171.

It is a happy number.

441100001144 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×441100001144² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441100001141) 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, 32052137 + ... + 32065895.

It is an arithmetic number, because the mean of its divisors is an integer number (14242219200).

Almost surely, 2^441100001144 is an apocalyptic number.

441100001144 is a gapful number since it is divisible by the number (44) 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 441100001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455751014400).

441100001144 is an abundant number, since it is smaller than the sum of its proper divisors (470402027656).

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

441100001144 is a wasteful number, since it uses less digits than its factorization.

441100001144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484 (or 17480 counting only the distinct ones).

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

It can be divided in two parts, 44110000 and 1144, that added together give a palindrome (44111144).

The spelling of 441100001144 in words is "four hundred forty-one billion, one hundred million, one thousand, one hundred forty-four".