10010444000 has 96 divisors (see below), whose sum is σ = 24814442016. Its totient is φ = 3968563200.

The previous prime is 10010443951. The next prime is 10010444009. The reversal of 10010444000 is 44401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010444009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 440927 + ... + 463073.

It is an arithmetic number, because the mean of its divisors is an integer number (258483771).

Almost surely, 2^10010444000 is an apocalyptic number.

10010444000 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 10010444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407221008).

10010444000 is an abundant number, since it is smaller than the sum of its proper divisors (14803998016).

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

10010444000 is a wasteful number, since it uses less digits than its factorization.

10010444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22285 (or 22267 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10010444000 its reverse (44401001), we get a palindrome (10054845001).

The spelling of 10010444000 in words is "ten billion, ten million, four hundred forty-four thousand".