1327311671040 has 1440 divisors, whose sum is σ = 5232362800896. Its totient is φ = 319938232320.

The previous prime is 1327311671039. The next prime is 1327311671167. The reversal of 1327311671040 is 401761137231.

It is a happy number.

1327311671040 is a `hidden beast` number, since 1 + 327 + 311 + 6 + 7 + 10 + 4 + 0 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1327311670986 and 1327311671004.

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 159 ways as a sum of consecutive naturals, for example, 6290576535 + ... + 6290576745.

Almost surely, 2^{1327311671040} is an apocalyptic number.

1327311671040 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 1327311671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616181400448).

1327311671040 is an abundant number, since it is smaller than the sum of its proper divisors (3905051129856).

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

1327311671040 is a wasteful number, since it uses less digits than its factorization.

1327311671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 1327311671040 in words is "one trillion, three hundred twenty-seven billion, three hundred eleven million, six hundred seventy-one thousand, forty".