10440922000 has 80 divisors (see below), whose sum is σ = 25286921712. Its totient is φ = 4169625600.

The previous prime is 10440921991. The next prime is 10440922007. The reversal of 10440922000 is 22904401.

10440922000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2564004496 + 7876917504 = 50636^2 + 88752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10440922007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1342122 + ... + 1349878.

Almost surely, 2^10440922000 is an apocalyptic number.

10440922000 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 10440922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12643460856).

10440922000 is an abundant number, since it is smaller than the sum of its proper divisors (14845999712).

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

10440922000 is an equidigital number, since it uses as much as digits as its factorization.

10440922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 10440922000 in words is "ten billion, four hundred forty million, nine hundred twenty-two thousand".