11040272320 has 504 divisors, whose sum is σ = 35163818928. Its totient is φ = 3291509760.

The previous prime is 11040272249. The next prime is 11040272359. The reversal of 11040272320 is 2327204011.

It is a super-2 number, since 2×11040272320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11040272291 and 11040272300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 480011829 + ... + 480011851.

It is an arithmetic number, because the mean of its divisors is an integer number (69769482).

Almost surely, 2^11040272320 is an apocalyptic number.

11040272320 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 11040272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581909464).

11040272320 is an abundant number, since it is smaller than the sum of its proper divisors (24123546608).

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

11040272320 is an equidigital number, since it uses as much as digits as its factorization.

11040272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 11040272320 its reverse (2327204011), we get a palindrome (13367476331).

The spelling of 11040272320 in words is "eleven billion, forty million, two hundred seventy-two thousand, three hundred twenty".