1330917016752 has 120 divisors (see below), whose sum is σ = 3845399795328. Its totient is φ = 429269068800.

The previous prime is 1330917016733. The next prime is 1330917016769. The reversal of 1330917016752 is 2576107190331.

1330917016752 is a `hidden beast` number, since 1 + 330 + 91 + 70 + 167 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1330917016698 and 1330917016707.

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 23 ways as a sum of consecutive naturals, for example, 42218148 + ... + 42249660.

Almost surely, 2^{1330917016752} is an apocalyptic number.

1330917016752 is a gapful number since it is divisible by the number (12) 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 1330917016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922699897664).

1330917016752 is an abundant number, since it is smaller than the sum of its proper divisors (2514482778576).

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

1330917016752 is a wasteful number, since it uses less digits than its factorization.

1330917016752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41019 (or 41010 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 1330917016752 in words is "one trillion, three hundred thirty billion, nine hundred seventeen million, sixteen thousand, seven hundred fifty-two".