1311344899200 has 1440 divisors, whose sum is σ = 5666672309760. Its totient is φ = 297747394560.

The previous prime is 1311344899141. The next prime is 1311344899259. The reversal of 1311344899200 is 29984431131.

1311344899200 is a `hidden beast` number, since 1 + 3 + 11 + 344 + 8 + 99 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1311344899141) and next prime (1311344899259).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 2832278169 + ... + 2832278631.

It is an arithmetic number, because the mean of its divisors is an integer number (3935189104).

Almost surely, 2^{1311344899200} is an apocalyptic number.

1311344899200 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 1311344899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833336154880).

1311344899200 is an abundant number, since it is smaller than the sum of its proper divisors (4355327410560).

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

1311344899200 is a wasteful number, since it uses less digits than its factorization.

1311344899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1311344899200 in words is "one trillion, three hundred eleven billion, three hundred forty-four million, eight hundred ninety-nine thousand, two hundred".