10444140000 has 720 divisors, whose sum is σ = 44129973888. Its totient is φ = 2379456000.

The previous prime is 10444139999. The next prime is 10444140013. The reversal of 10444140000 is 4144401.

10444140000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 34019847 + ... + 34020153.

Almost surely, 2^10444140000 is an apocalyptic number.

10444140000 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 10444140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22064986944).

10444140000 is an abundant number, since it is smaller than the sum of its proper divisors (33685833888).

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

10444140000 is an frugal number, since it uses more digits than its factorization.

10444140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10444140000 its reverse (4144401), we get a palindrome (10448284401).

It can be divided in two parts, 104441 and 40000, that added together give a palindrome (144441).

The spelling of 10444140000 in words is "ten billion, four hundred forty-four million, one hundred forty thousand".