10224440400 has 120 divisors (see below), whose sum is σ = 33307644960. Its totient is φ = 2680286720.

The previous prime is 10224440381. The next prime is 10224440411. The reversal of 10224440400 is 404442201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407 + ... + 143006.

It is an arithmetic number, because the mean of its divisors is an integer number (277563708).

Almost surely, 2^10224440400 is an apocalyptic number.

10224440400 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 10224440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653822480).

10224440400 is an abundant number, since it is smaller than the sum of its proper divisors (23083204560).

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

10224440400 is a wasteful number, since it uses less digits than its factorization.

10224440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144493 (or 144482 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10224440400 its reverse (404442201), we get a palindrome (10628882601).

The spelling of 10224440400 in words is "ten billion, two hundred twenty-four million, four hundred forty thousand, four hundred".