11533313440 has 144 divisors (see below), whose sum is σ = 30116136960. Its totient is φ = 4170636800.

The previous prime is 11533313437. The next prime is 11533313447. The reversal of 11533313440 is 4431333511.

It is a junction number, because it is equal to n+sod(n) for n = 11533313399 and 11533313408.

It is not an unprimeable number, because it can be changed into a prime (11533313447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3696201 + ... + 3699319.

It is an arithmetic number, because the mean of its divisors is an integer number (209139840).

Almost surely, 2^11533313440 is an apocalyptic number.

11533313440 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 11533313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

11533313440 is an abundant number, since it is smaller than the sum of its proper divisors (18582823520).

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

11533313440 is a wasteful number, since it uses less digits than its factorization.

11533313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3347 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 11533313440 its reverse (4431333511), we get a palindrome (15964646951).

The spelling of 11533313440 in words is "eleven billion, five hundred thirty-three million, three hundred thirteen thousand, four hundred forty".