11311312032240 has 320 divisors, whose sum is σ = 39167380127232. Its totient is φ = 2677299609600.

The previous prime is 11311312032203. The next prime is 11311312032263. The reversal of 11311312032240 is 4223021311311.

11311312032240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11311312032240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19704480 + ... + 20270400.

Almost surely, 2^{11311312032240} is an apocalyptic number.

11311312032240 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 11311312032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19583690063616).

11311312032240 is an abundant number, since it is smaller than the sum of its proper divisors (27856068094992).

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

11311312032240 is a wasteful number, since it uses less digits than its factorization.

11311312032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566128 (or 566122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11311312032240 its reverse (4223021311311), we get a palindrome (15534333343551).

The spelling of 11311312032240 in words is "eleven trillion, three hundred eleven billion, three hundred twelve million, thirty-two thousand, two hundred forty".