1311399936000 has 2448 divisors, whose sum is σ = 6200371326240. Its totient is φ = 272498688000.

The previous prime is 1311399935987. The next prime is 1311399936017. The reversal of 1311399936000 is 6399931131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1311399936000 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 39 + 9 + 9 + 3 + 600 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119218175995 + ... + 119218176005.

Almost surely, 2^{1311399936000} is an apocalyptic number.

1311399936000 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 1311399936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100185663120).

1311399936000 is an abundant number, since it is smaller than the sum of its proper divisors (4888971390240).

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

1311399936000 is an frugal number, since it uses more digits than its factorization.

1311399936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 45.

The spelling of 1311399936000 in words is "one trillion, three hundred eleven billion, three hundred ninety-nine million, nine hundred thirty-six thousand".