1311826944960 has 336 divisors, whose sum is σ = 5460067694016. Its totient is φ = 282208075776.

The previous prime is 1311826944959. The next prime is 1311826944991. The reversal of 1311826944960 is 694496281131.

1311826944960 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 82 + 69 + 449 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 1311826944897 and 1311826944906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571127 + ... + 2256566.

Almost surely, 2^{1311826944960} is an apocalyptic number.

1311826944960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311826944960 is an abundant number, since it is smaller than the sum of its proper divisors (4148240749056).

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

1311826944960 is a wasteful number, since it uses less digits than its factorization.

1311826944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827740 (or 3827727 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1311826944960 in words is "one trillion, three hundred eleven billion, eight hundred twenty-six million, nine hundred forty-four thousand, nine hundred sixty".