383201280000 has 1920 divisors, whose sum is σ = 1788532986240. Its totient is φ = 79626240000.

The previous prime is 383201279983. The next prime is 383201280023. The reversal of 383201280000 is 82102383.

383201280000 is a `hidden beast` number, since 383 + 2 + 0 + 1 + 280 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 34836479995 + ... + 34836480005.

It is an arithmetic number, because the mean of its divisors is an integer number (931527597).

Almost surely, 2^383201280000 is an apocalyptic number.

383201280000 is a gapful number since it is divisible by the number (30) 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 383201280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894266493120).

383201280000 is an abundant number, since it is smaller than the sum of its proper divisors (1405331706240).

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

383201280000 is an frugal number, since it uses more digits than its factorization.

383201280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 383201280000 its reverse (82102383), we get a palindrome (383283382383).

The spelling of 383201280000 in words is "three hundred eighty-three billion, two hundred one million, two hundred eighty thousand".