11404242324000 has 288 divisors, whose sum is σ = 41077749113856. Its totient is φ = 2995740633600.

The previous prime is 11404242323987. The next prime is 11404242324001. The reversal of 11404242324000 is 42324240411.

11404242324000 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 24 + 232 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (11404242324001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47937 + ... + 4776063.

It is an arithmetic number, because the mean of its divisors is an integer number (142631073312).

Almost surely, 2^{11404242324000} is an apocalyptic number.

11404242324000 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 11404242324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20538874556928).

11404242324000 is an abundant number, since it is smaller than the sum of its proper divisors (29673506789856).

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

11404242324000 is a wasteful number, since it uses less digits than its factorization.

11404242324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728225 (or 4728204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 11404242324000 its reverse (42324240411), we get a palindrome (11446566564411).

The spelling of 11404242324000 in words is "eleven trillion, four hundred four billion, two hundred forty-two million, three hundred twenty-four thousand".