11131442312240 has 80 divisors (see below), whose sum is σ = 26094972895200. Its totient is φ = 4415829559296.

The previous prime is 11131442312219. The next prime is 11131442312257. The reversal of 11131442312240 is 4221324413111.

11131442312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4299356 + ... + 6383364.

It is an arithmetic number, because the mean of its divisors is an integer number (326187161190).

Almost surely, 2^{11131442312240} is an apocalyptic number.

11131442312240 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 11131442312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047486447600).

11131442312240 is an abundant number, since it is smaller than the sum of its proper divisors (14963530582960).

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

11131442312240 is a wasteful number, since it uses less digits than its factorization.

11131442312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084574 (or 2084568 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 11131442312240 its reverse (4221324413111), we get a palindrome (15352766725351).

The spelling of 11131442312240 in words is "eleven trillion, one hundred thirty-one billion, four hundred forty-two million, three hundred twelve thousand, two hundred forty".