4311131440 has 160 divisors (see below), whose sum is σ = 12545911296. Its totient is φ = 1338439680.

The previous prime is 4311131413. The next prime is 4311131441. The reversal of 4311131440 is 441311134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4311131441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1742044 + ... + 1744516.

Almost surely, 2^4311131440 is an apocalyptic number.

4311131440 is a gapful number since it is divisible by the number (40) 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 4311131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272955648).

4311131440 is an abundant number, since it is smaller than the sum of its proper divisors (8234779856).

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

4311131440 is a wasteful number, since it uses less digits than its factorization.

4311131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2781 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4311131440 is about 65659.2068182368. The cubic root of 4311131440 is about 1627.5353168316.

Adding to 4311131440 its reverse (441311134), we get a palindrome (4752442574).

The spelling of 4311131440 in words is "four billion, three hundred eleven million, one hundred thirty-one thousand, four hundred forty".