1327411031040 has 352 divisors, whose sum is σ = 4723329024960. Its totient is φ = 353529888768.

The previous prime is 1327411031039. The next prime is 1327411031053. The reversal of 1327411031040 is 401301147231.

1327411031040 is a `hidden beast` number, since 132 + 74 + 110 + 310 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1327411030995 and 1327411031013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117913092 + ... + 117924348.

Almost surely, 2^{1327411031040} is an apocalyptic number.

1327411031040 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 1327411031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361664512480).

1327411031040 is an abundant number, since it is smaller than the sum of its proper divisors (3395917993920).

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

1327411031040 is a wasteful number, since it uses less digits than its factorization.

1327411031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144 (or 12120 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 1327411031040 its reverse (401301147231), we get a palindrome (1728712178271).

The spelling of 1327411031040 in words is "one trillion, three hundred twenty-seven billion, four hundred eleven million, thirty-one thousand, forty".