11144400010000 has 100 divisors (see below), whose sum is σ = 27041810647500. Its totient is φ = 4447830016000.

The previous prime is 11144400009961. The next prime is 11144400010001. The reversal of 11144400010000 is 1000444111.

It can be written as a sum of positive squares in 10 ways, for example, as 10075012381456 + 1069387628544 = 3174116^2 + 1034112^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11144400010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3248976 + ... + 5731024.

It is an arithmetic number, because the mean of its divisors is an integer number (270418106475).

Almost surely, 2^{11144400010000} is an apocalyptic number.

11144400010000 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 11144400010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520905323750).

11144400010000 is an abundant number, since it is smaller than the sum of its proper divisors (15897410637500).

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

11144400010000 is an equidigital number, since it uses as much as digits as its factorization.

11144400010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482526 (or 2482505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11144400010000 its reverse (1000444111), we get a palindrome (11145400454111).

The spelling of 11144400010000 in words is "eleven trillion, one hundred forty-four billion, four hundred million, ten thousand".