10444434430000 has 100 divisors (see below), whose sum is σ = 25290036041688. Its totient is φ = 4177275520000.

The previous prime is 10444434429973. The next prime is 10444434430013. The reversal of 10444434430000 is 3443444401.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90352239 + ... + 90467761.

Almost surely, 2^{10444434430000} is an apocalyptic number.

10444434430000 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 10444434430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12645018020844).

10444434430000 is an abundant number, since it is smaller than the sum of its proper divisors (14845601611688).

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

10444434430000 is an equidigital number, since it uses as much as digits as its factorization.

10444434430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124592 (or 124571 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 10444434430000 its reverse (3443444401), we get a palindrome (10447877874401).

The spelling of 10444434430000 in words is "ten trillion, four hundred forty-four billion, four hundred thirty-four million, four hundred thirty thousand".