11131344410240 has 64 divisors (see below), whose sum is σ = 26683379976960. Its totient is φ = 4440405414912.

The previous prime is 11131344410233. The next prime is 11131344410269. The reversal of 11131344410240 is 4201444313111.

It is a happy number.

11131344410240 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 (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23460932 + ... + 23930691.

It is an arithmetic number, because the mean of its divisors is an integer number (416927812140).

Almost surely, 2^{11131344410240} is an apocalyptic number.

11131344410240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131344410240 is an abundant number, since it is smaller than the sum of its proper divisors (15552035566720).

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

11131344410240 is an equidigital number, since it uses as much as digits as its factorization.

11131344410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47392009 (or 47391997 counting only the distinct ones).

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

Adding to 11131344410240 its reverse (4201444313111), we get a palindrome (15332788723351).

The spelling of 11131344410240 in words is "eleven trillion, one hundred thirty-one billion, three hundred forty-four million, four hundred ten thousand, two hundred forty".