11444120420300 has 288 divisors, whose sum is σ = 26500631976000. Its totient is φ = 4283460403200.

The previous prime is 11444120420269. The next prime is 11444120420323. The reversal of 11444120420300 is 302402144411.

It is a self number, because there is not a number n which added to its sum of digits gives 11444120420300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5252004611 + ... + 5252006789.

It is an arithmetic number, because the mean of its divisors is an integer number (92016083250).

Almost surely, 2^{11444120420300} is an apocalyptic number.

11444120420300 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 11444120420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13250315988000).

11444120420300 is an abundant number, since it is smaller than the sum of its proper divisors (15056511555700).

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

11444120420300 is a wasteful number, since it uses less digits than its factorization.

11444120420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11444120420300 its reverse (302402144411), we get a palindrome (11746522564711).

The spelling of 11444120420300 in words is "eleven trillion, four hundred forty-four billion, one hundred twenty million, four hundred twenty thousand, three hundred".