10444331220000 has 240 divisors, whose sum is σ = 34598718266112. Its totient is φ = 2757577600000.

The previous prime is 10444331219909. The next prime is 10444331220023. The reversal of 10444331220000 is 2213344401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 5198257 + ... + 6921743.

Almost surely, 2^{10444331220000} is an apocalyptic number.

10444331220000 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 10444331220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299359133056).

10444331220000 is an abundant number, since it is smaller than the sum of its proper divisors (24154387046112).

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

10444331220000 is a wasteful number, since it uses less digits than its factorization.

10444331220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723621 (or 1723598 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10444331220000 its reverse (2213344401), we get a palindrome (10446544564401).

The spelling of 10444331220000 in words is "ten trillion, four hundred forty-four billion, three hundred thirty-one million, two hundred twenty thousand".