11321440004000 has 288 divisors, whose sum is σ = 32450157741456. Its totient is φ = 3870616780800.

The previous prime is 11321440003997. The next prime is 11321440004027. The reversal of 11321440004000 is 40004412311.

It can be written as a sum of positive squares in 8 ways, for example, as 441443305744 + 10879996698256 = 664412^2 + 3298484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 69106184 + ... + 69269816.

Almost surely, 2^{11321440004000} is an apocalyptic number.

11321440004000 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 11321440004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16225078870728).

11321440004000 is an abundant number, since it is smaller than the sum of its proper divisors (21128717737456).

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

11321440004000 is a wasteful number, since it uses less digits than its factorization.

11321440004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164025 (or 164000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11321440004000 its reverse (40004412311), we get a palindrome (11361444416311).

The spelling of 11321440004000 in words is "eleven trillion, three hundred twenty-one billion, four hundred forty million, four thousand".