1311242728320 has 288 divisors, whose sum is σ = 5267132718120. Its totient is φ = 299712559104.

The previous prime is 1311242728267. The next prime is 1311242728333. The reversal of 1311242728320 is 238272421131.

1311242728320 is a `hidden beast` number, since 1 + 311 + 2 + 42 + 7 + 283 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2040682 + ... + 2605161.

Almost surely, 2^{1311242728320} is an apocalyptic number.

1311242728320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311242728320 is an abundant number, since it is smaller than the sum of its proper divisors (3955889989800).

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

1311242728320 is a wasteful number, since it uses less digits than its factorization.

1311242728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645882 (or 4645860 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1311242728320 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, seven hundred twenty-eight thousand, three hundred twenty".