1311004213440 has 224 divisors, whose sum is σ = 4483412440320. Its totient is φ = 323498520576.

The previous prime is 1311004213429. The next prime is 1311004213457. The reversal of 1311004213440 is 443124001131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1311004213440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51439 + ... + 1620078.

Almost surely, 2^{1311004213440} is an apocalyptic number.

1311004213440 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 1311004213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241706220160).

1311004213440 is an abundant number, since it is smaller than the sum of its proper divisors (3172408226880).

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

1311004213440 is a wasteful number, since it uses less digits than its factorization.

1311004213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671599 (or 1671589 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1311004213440 its reverse (443124001131), we get a palindrome (1754128214571).

The spelling of 1311004213440 in words is "one trillion, three hundred eleven billion, four million, two hundred thirteen thousand, four hundred forty".