11440704384000 has 1760 divisors, whose sum is σ = 45254198246400. Its totient is φ = 2878189977600.

The previous prime is 11440704383921. The next prime is 11440704384007. The reversal of 11440704384000 is 48340704411.

It is a happy number.

11440704384000 is a `hidden beast` number, since 1 + 144 + 0 + 70 + 43 + 8 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11440704384007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 47869055881 + ... + 47869056119.

It is an arithmetic number, because the mean of its divisors is an integer number (25712612640).

Almost surely, 2^{11440704384000} is an apocalyptic number.

11440704384000 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 11440704384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627099123200).

11440704384000 is an abundant number, since it is smaller than the sum of its proper divisors (33813493862400).

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

11440704384000 is an frugal number, since it uses more digits than its factorization.

11440704384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 11440704384000 in words is "eleven trillion, four hundred forty billion, seven hundred four million, three hundred eighty-four thousand".