11440200000 has 336 divisors, whose sum is σ = 39526220160. Its totient is φ = 2914560000.

The previous prime is 11440199971. The next prime is 11440200047. The reversal of 11440200000 is 204411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13799586 + ... + 13800414.

It is an arithmetic number, because the mean of its divisors is an integer number (117637560).

Almost surely, 2^11440200000 is an apocalyptic number.

11440200000 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 11440200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763110080).

11440200000 is an abundant number, since it is smaller than the sum of its proper divisors (28086020160).

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

11440200000 is an frugal number, since it uses more digits than its factorization.

11440200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 11440200000 its reverse (204411), we get a palindrome (11440404411).

The spelling of 11440200000 in words is "eleven billion, four hundred forty million, two hundred thousand".