10011144400000 has 192 divisors, whose sum is σ = 24940814310720. Its totient is φ = 4002480000000.

The previous prime is 10011144399917. The next prime is 10011144400001. The reversal of 10011144400000 is 444111001.

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 (10011144400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020395095 + ... + 1020404905.

It is an arithmetic number, because the mean of its divisors is an integer number (129900074535).

Almost surely, 2^{10011144400000} is an apocalyptic number.

10011144400000 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 10011144400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12470407155360).

10011144400000 is an abundant number, since it is smaller than the sum of its proper divisors (14929669910720).

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

10011144400000 is an frugal number, since it uses more digits than its factorization.

10011144400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12401 (or 12369 counting only the distinct ones).

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

Adding to 10011144400000 its reverse (444111001), we get a palindrome (10011588511001).

The spelling of 10011144400000 in words is "ten trillion, eleven billion, one hundred forty-four million, four hundred thousand".