1327291829280 has 240 divisors, whose sum is σ = 4691571142104. Its totient is φ = 353390100480.

The previous prime is 1327291829263. The next prime is 1327291829299. The reversal of 1327291829280 is 829281927231.

1327291829280 is a `hidden beast` number, since 1 + 3 + 272 + 9 + 1 + 8 + 292 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1320724995984 + 6566833296 = 1149228^2 + 81036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8227474 + ... + 8387246.

Almost surely, 2^{1327291829280} is an apocalyptic number.

1327291829280 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 1327291829280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345785571052).

1327291829280 is an abundant number, since it is smaller than the sum of its proper divisors (3364279312824).

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

1327291829280 is a wasteful number, since it uses less digits than its factorization.

1327291829280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160441 (or 160424 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1327291829280 in words is "one trillion, three hundred twenty-seven billion, two hundred ninety-one million, eight hundred twenty-nine thousand, two hundred eighty".