1329703464960 has 2184 divisors, whose sum is σ = 5662157053824. Its totient is φ = 298120642560.

The previous prime is 1329703464953. The next prime is 1329703464979. The reversal of 1329703464960 is 694643079231.

It is a happy number.

1329703464960 is a `hidden beast` number, since 1 + 3 + 2 + 97 + 0 + 3 + 464 + 96 + 0 = 666.

It is a super-2 number, since 2×1329703464960² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1329703464897 and 1329703464906.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 42893660145 + ... + 42893660175.

Almost surely, 2^{1329703464960} is an apocalyptic number.

1329703464960 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 1329703464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831078526912).

1329703464960 is an abundant number, since it is smaller than the sum of its proper divisors (4332453588864).

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

1329703464960 is an equidigital number, since it uses as much as digits as its factorization.

1329703464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1329703464960 in words is "one trillion, three hundred twenty-nine billion, seven hundred three million, four hundred sixty-four thousand, nine hundred sixty".