11310310240 has 96 divisors (see below), whose sum is σ = 27351426816. Its totient is φ = 4418119680.

The previous prime is 11310310163. The next prime is 11310310241. The reversal of 11310310240 is 4201301311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310310241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1888050 + ... + 1894030.

It is an arithmetic number, because the mean of its divisors is an integer number (284910696).

Almost surely, 2^11310310240 is an apocalyptic number.

11310310240 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 11310310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13675713408).

11310310240 is an abundant number, since it is smaller than the sum of its proper divisors (16041116576).

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

11310310240 is a wasteful number, since it uses less digits than its factorization.

11310310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11310310240 its reverse (4201301311), we get a palindrome (15511611551).

The spelling of 11310310240 in words is "eleven billion, three hundred ten million, three hundred ten thousand, two hundred forty".