1311164420 has 48 divisors (see below), whose sum is σ = 2825864496. Its totient is φ = 510720000.

The previous prime is 1311164419. The next prime is 1311164441. The reversal of 1311164420 is 244611131.

It can be written as a sum of positive squares in 8 ways, for example, as 12859396 + 1298305024 = 3586^2 + 36032^2 .

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 15 ways as a sum of consecutive naturals, for example, 573680 + ... + 575960.

It is an arithmetic number, because the mean of its divisors is an integer number (58872177).

Almost surely, 2^1311164420 is an apocalyptic number.

1311164420 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 1311164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412932248).

1311164420 is an abundant number, since it is smaller than the sum of its proper divisors (1514700076).

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

1311164420 is a wasteful number, since it uses less digits than its factorization.

1311164420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1311164420 is about 36210.0044186686. The cubic root of 1311164420 is about 1094.5082812695.

Adding to 1311164420 its reverse (244611131), we get a palindrome (1555775551).

The spelling of 1311164420 in words is "one billion, three hundred eleven million, one hundred sixty-four thousand, four hundred twenty".