1311004440 has 112 divisors (see below), whose sum is σ = 4422715200. Its totient is φ = 349593408.

The previous prime is 1311004433. The next prime is 1311004459. The reversal of 1311004440 is 444001131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 6681 + ... + 51639.

Almost surely, 2^1311004440 is an apocalyptic number.

1311004440 is a gapful number since it is divisible by the number (10) 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 1311004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211357600).

1311004440 is an abundant number, since it is smaller than the sum of its proper divisors (3111710760).

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

1311004440 is an equidigital number, since it uses as much as digits as its factorization.

1311004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44988 (or 44969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1311004440 is about 36207.7952932790. The cubic root of 1311004440 is about 1094.4637644634.

Adding to 1311004440 its reverse (444001131), we get a palindrome (1755005571).

The spelling of 1311004440 in words is "one billion, three hundred eleven million, four thousand, four hundred forty".