1330729161216 has 960 divisors, whose sum is σ = 4654968062976. Its totient is φ = 334430208000.

The previous prime is 1330729161161. The next prime is 1330729161217. The reversal of 1330729161216 is 6121619270331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1330729161217) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2214191316 + ... + 2214191916.

Almost surely, 2^{1330729161216} is an apocalyptic number.

1330729161216 is a gapful number since it is divisible by the number (16) 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 1330729161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327484031488).

1330729161216 is an abundant number, since it is smaller than the sum of its proper divisors (3324238901760).

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

1330729161216 is a wasteful number, since it uses less digits than its factorization.

1330729161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 1330729161216 in words is "one trillion, three hundred thirty billion, seven hundred twenty-nine million, one hundred sixty-one thousand, two hundred sixteen".