1130440311 has 96 divisors (see below), whose sum is σ = 2207761920. Its totient is φ = 538272000.

The previous prime is 1130440303. The next prime is 1130440343.

1130440311 is a `hidden beast` number, since 11 + 304 + 40 + 311 = 666.

1130440311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1130440311 - 2³ = 1130440303 is a prime.

It is a super-3 number, since 3×1130440311³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130440351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1612261 + ... + 1612961.

It is an arithmetic number, because the mean of its divisors is an integer number (22997520).

Almost surely, 2^1130440311 is an apocalyptic number.

1130440311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1130440311 is a deficient number, since it is larger than the sum of its proper divisors (1077321609).

1130440311 is a wasteful number, since it uses less digits than its factorization.

1130440311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1130440311 is about 33622.0212212175. The cubic root of 1130440311 is about 1041.7157056750.

It can be divided in two parts, 11304 and 40311, that added together give a palindrome (51615).

The spelling of 1130440311 in words is "one billion, one hundred thirty million, four hundred forty thousand, three hundred eleven".