11312317440 has 220 divisors, whose sum is σ = 40538435916. Its totient is φ = 3016507392.

The previous prime is 11312317417. The next prime is 11312317441. The reversal of 11312317440 is 4471321311.

It can be written as a sum of positive squares in 2 ways, for example, as 3186376704 + 8125940736 = 56448^2 + 90144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11312317441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 401082 + ... + 428358.

Almost surely, 2^11312317440 is an apocalyptic number.

11312317440 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 11312317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269217958).

11312317440 is an abundant number, since it is smaller than the sum of its proper divisors (29226118476).

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

11312317440 is an equidigital number, since it uses as much as digits as its factorization.

11312317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27314 (or 27287 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 11312317440 its reverse (4471321311), we get a palindrome (15783638751).

The spelling of 11312317440 in words is "eleven billion, three hundred twelve million, three hundred seventeen thousand, four hundred forty".