11240040224 has 72 divisors (see below), whose sum is σ = 26289567360. Its totient is φ = 4714636416.

The previous prime is 11240040199. The next prime is 11240040247. The reversal of 11240040224 is 42204004211.

It is a junction number, because it is equal to n+sod(n) for n = 11240040196 and 11240040205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564 + ... + 149955.

It is an arithmetic number, because the mean of its divisors is an integer number (365132880).

Almost surely, 2^11240040224 is an apocalyptic number.

11240040224 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 11240040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13144783680).

11240040224 is an abundant number, since it is smaller than the sum of its proper divisors (15049527136).

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

11240040224 is a wasteful number, since it uses less digits than its factorization.

11240040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152590 (or 152575 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11240040224 its reverse (42204004211), we get a palindrome (53444044435).

The spelling of 11240040224 in words is "eleven billion, two hundred forty million, forty thousand, two hundred twenty-four".