11131231440 has 160 divisors (see below), whose sum is σ = 41756256000. Its totient is φ = 2394611712.

The previous prime is 11131231429. The next prime is 11131231459. The reversal of 11131231440 is 4413213111.

11131231440 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 (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166315 + ... + 223434.

It is an arithmetic number, because the mean of its divisors is an integer number (260976600).

Almost surely, 2^11131231440 is an apocalyptic number.

11131231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131231440 is an abundant number, since it is smaller than the sum of its proper divisors (30625024560).

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

11131231440 is a wasteful number, since it uses less digits than its factorization.

11131231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389789 (or 389783 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11131231440 its reverse (4413213111), we get a palindrome (15544444551).

The spelling of 11131231440 in words is "eleven billion, one hundred thirty-one million, two hundred thirty-one thousand, four hundred forty".