1131440431120 has 80 divisors (see below), whose sum is σ = 2759638014720. Its totient is φ = 430815526400.

The previous prime is 1131440431111. The next prime is 1131440431123. The reversal of 1131440431120 is 211340441311.

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

It is a super-2 number, since 2×1131440431120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131440431123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3269716 + ... + 3599155.

It is an arithmetic number, because the mean of its divisors is an integer number (34495475184).

Almost surely, 2^{1131440431120} is an apocalyptic number.

1131440431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131440431120 is an abundant number, since it is smaller than the sum of its proper divisors (1628197583600).

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

1131440431120 is a wasteful number, since it uses less digits than its factorization.

1131440431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868984 (or 6868978 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1131440431120 its reverse (211340441311), we get a palindrome (1342780872431).

The spelling of 1131440431120 in words is "one trillion, one hundred thirty-one billion, four hundred forty million, four hundred thirty-one thousand, one hundred twenty".