10441120000 has 90 divisors (see below), whose sum is σ = 26043880478. Its totient is φ = 4176384000.

The previous prime is 10441119967. The next prime is 10441120003. The reversal of 10441120000 is 2114401.

It can be written as a sum of positive squares in 5 ways, for example, as 6229629184 + 4211490816 = 78928^2 + 64896^2 .

It is not an unprimeable number, because it can be changed into a prime (10441120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 127372 + ... + 192628.

Almost surely, 2^10441120000 is an apocalyptic number.

10441120000 is a gapful number since it is divisible by the number (10) 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 10441120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13021940239).

10441120000 is an abundant number, since it is smaller than the sum of its proper divisors (15602760478).

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

10441120000 is an frugal number, since it uses more digits than its factorization.

10441120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65293 (or 65264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10441120000 its reverse (2114401), we get a palindrome (10443234401).

The spelling of 10441120000 in words is "ten billion, four hundred forty-one million, one hundred twenty thousand".