1329181328400 has 240 divisors, whose sum is σ = 4292476097280. Its totient is φ = 351567475200.

The previous prime is 1329181328383. The next prime is 1329181328407. The reversal of 1329181328400 is 48231819231.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1329181328407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214001295 + ... + 214007505.

It is an arithmetic number, because the mean of its divisors is an integer number (17885317072).

Almost surely, 2^{1329181328400} is an apocalyptic number.

1329181328400 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 1329181328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146238048640).

1329181328400 is an abundant number, since it is smaller than the sum of its proper divisors (2963294768880).

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

1329181328400 is a wasteful number, since it uses less digits than its factorization.

1329181328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 1329181328400 in words is "one trillion, three hundred twenty-nine billion, one hundred eighty-one million, three hundred twenty-eight thousand, four hundred".