1329660430800 has 960 divisors, whose sum is σ = 4864337829120. Its totient is φ = 310067896320.

The previous prime is 1329660430793. The next prime is 1329660430873. The reversal of 1329660430800 is 80340669231.

It is a super-2 number, since 2×1329660430800² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4194512242 + ... + 4194512558.

It is an arithmetic number, because the mean of its divisors is an integer number (5067018572).

Almost surely, 2^{1329660430800} is an apocalyptic number.

1329660430800 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 1329660430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432168914560).

1329660430800 is an abundant number, since it is smaller than the sum of its proper divisors (3534677398320).

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

1329660430800 is a wasteful number, since it uses less digits than its factorization.

1329660430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 1329660430800 in words is "one trillion, three hundred twenty-nine billion, six hundred sixty million, four hundred thirty thousand, eight hundred".