11315665440 has 384 divisors, whose sum is σ = 41988844800. Its totient is φ = 2841108480.

The previous prime is 11315665421. The next prime is 11315665447. The reversal of 11315665440 is 4456651311.

11315665440 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 566 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11315665395 and 11315665404.

It is not an unprimeable number, because it can be changed into a prime (11315665447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5135379 + ... + 5137581.

It is an arithmetic number, because the mean of its divisors is an integer number (109345950).

Almost surely, 2^11315665440 is an apocalyptic number.

11315665440 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 11315665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20994422400).

11315665440 is an abundant number, since it is smaller than the sum of its proper divisors (30673179360).

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

11315665440 is a wasteful number, since it uses less digits than its factorization.

11315665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11315665440 in words is "eleven billion, three hundred fifteen million, six hundred sixty-five thousand, four hundred forty".