11440134002304 has 768 divisors, whose sum is σ = 40265066304000. Its totient is φ = 3186901573632.

The previous prime is 11440134002293. The next prime is 11440134002327. The reversal of 11440134002304 is 40320043104411.

11440134002304 is a `hidden beast` number, since 1 + 14 + 4 + 0 + 1 + 340 + 0 + 2 + 304 = 666.

11440134002304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2204686942 + ... + 2204692130.

It is an arithmetic number, because the mean of its divisors is an integer number (52428471750).

Almost surely, 2^{11440134002304} is an apocalyptic number.

11440134002304 is a gapful number since it is divisible by the number (14) 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 11440134002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132533152000).

11440134002304 is an abundant number, since it is smaller than the sum of its proper divisors (28824932301696).

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

11440134002304 is a wasteful number, since it uses less digits than its factorization.

11440134002304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11440134002304 its reverse (40320043104411), we get a palindrome (51760177106715).

The spelling of 11440134002304 in words is "eleven trillion, four hundred forty billion, one hundred thirty-four million, two thousand, three hundred four".