1328236398720 has 3456 divisors, whose sum is σ = 6513959088000. Its totient is φ = 247292559360.

The previous prime is 1328236398673. The next prime is 1328236398737. The reversal of 1328236398720 is 278936328231.

1328236398720 is a `hidden beast` number, since 1 + 328 + 236 + 3 + 9 + 87 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14924004436 + ... + 14924004524.

It is an arithmetic number, because the mean of its divisors is an integer number (1884826125).

Almost surely, 2^{1328236398720} is an apocalyptic number.

1328236398720 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 1328236398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256979544000).

1328236398720 is an abundant number, since it is smaller than the sum of its proper divisors (5185722689280).

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

1328236398720 is a wasteful number, since it uses less digits than its factorization.

1328236398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1328236398720 in words is "one trillion, three hundred twenty-eight billion, two hundred thirty-six million, three hundred ninety-eight thousand, seven hundred twenty".