1311101440 has 80 divisors (see below), whose sum is σ = 3429423360. Its totient is φ = 476753920.

The previous prime is 1311101419. The next prime is 1311101497. The reversal of 1311101440 is 441011131.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4881 + ... + 51439.

It is an arithmetic number, because the mean of its divisors is an integer number (42867792).

Almost surely, 2^1311101440 is an apocalyptic number.

1311101440 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 1311101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714711680).

1311101440 is an abundant number, since it is smaller than the sum of its proper divisors (2118321920).

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

1311101440 is an equidigital number, since it uses as much as digits as its factorization.

1311101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46593 (or 46577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 1311101440 is about 36209.1347590632. The cubic root of 1311101440 is about 1094.4907565833.

Adding to 1311101440 its reverse (441011131), we get a palindrome (1752112571).

The spelling of 1311101440 in words is "one billion, three hundred eleven million, one hundred one thousand, four hundred forty".