1311436405356 has 192 divisors, whose sum is σ = 3881414799360. Its totient is φ = 334715754240.

The previous prime is 1311436405291. The next prime is 1311436405373. The reversal of 1311436405356 is 6535046341131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193910031 + ... + 193916793.

It is an arithmetic number, because the mean of its divisors is an integer number (20215702080).

Almost surely, 2^{1311436405356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311436405356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940707399680).

1311436405356 is an abundant number, since it is smaller than the sum of its proper divisors (2569978394004).

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

1311436405356 is a wasteful number, since it uses less digits than its factorization.

1311436405356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10402 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 1311436405356 in words is "one trillion, three hundred eleven billion, four hundred thirty-six million, four hundred five thousand, three hundred fifty-six".