1329229666800 has 600 divisors, whose sum is σ = 5772720941856. Its totient is φ = 285951098880.

The previous prime is 1329229666781. The next prime is 1329229666823. The reversal of 1329229666800 is 86669229231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×1329229666800³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3683224 + ... + 4027976.

Almost surely, 2^{1329229666800} is an apocalyptic number.

1329229666800 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 1329229666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886360470928).

1329229666800 is an abundant number, since it is smaller than the sum of its proper divisors (4443491275056).

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

1329229666800 is a wasteful number, since it uses less digits than its factorization.

1329229666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344807 (or 344787 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1329229666800 in words is "one trillion, three hundred twenty-nine billion, two hundred twenty-nine million, six hundred sixty-six thousand, eight hundred".