10441311200 has 144 divisors (see below), whose sum is σ = 26343001440. Its totient is φ = 4038174720.

The previous prime is 10441311197. The next prime is 10441311211. The reversal of 10441311200 is 211314401.

It is a happy number.

10441311200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5119781 + ... + 5121819.

It is an arithmetic number, because the mean of its divisors is an integer number (182937510).

Almost surely, 2^10441311200 is an apocalyptic number.

10441311200 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 10441311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13171500720).

10441311200 is an abundant number, since it is smaller than the sum of its proper divisors (15901690240).

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

10441311200 is a wasteful number, since it uses less digits than its factorization.

10441311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10441311200 its reverse (211314401), we get a palindrome (10652625601).

The spelling of 10441311200 in words is "ten billion, four hundred forty-one million, three hundred eleven thousand, two hundred".