1323541728000 has 576 divisors, whose sum is σ = 4892585443200. Its totient is φ = 352368230400.

The previous prime is 1323541727987. The next prime is 1323541728017. The reversal of 1323541728000 is 8271453231.

1323541728000 is a `hidden beast` number, since 1 + 3 + 235 + 417 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923615284 + ... + 923616716.

It is an arithmetic number, because the mean of its divisors is an integer number (8494071950).

Almost surely, 2^{1323541728000} is an apocalyptic number.

1323541728000 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 1323541728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446292721600).

1323541728000 is an abundant number, since it is smaller than the sum of its proper divisors (3569043715200).

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

1323541728000 is a wasteful number, since it uses less digits than its factorization.

1323541728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1323541728000 in words is "one trillion, three hundred twenty-three billion, five hundred forty-one million, seven hundred twenty-eight thousand".