11340261504 has 768 divisors, whose sum is σ = 41541776640. Its totient is φ = 2919628800.

The previous prime is 11340261487. The next prime is 11340261509. The reversal of 11340261504 is 40516204311.

It is a happy number.

11340261504 is a `hidden beast` number, since 1 + 1 + 3 + 40 + 2 + 615 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (11340261509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155346012 + ... + 155346084.

It is an arithmetic number, because the mean of its divisors is an integer number (54090855).

Almost surely, 2^11340261504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11340261504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770888320).

11340261504 is an abundant number, since it is smaller than the sum of its proper divisors (30201515136).

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

11340261504 is a wasteful number, since it uses less digits than its factorization.

11340261504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11340261504 its reverse (40516204311), we get a palindrome (51856465815).

The spelling of 11340261504 in words is "eleven billion, three hundred forty million, two hundred sixty-one thousand, five hundred four".