4005321331200 has 480 divisors, whose sum is σ = 15133748044800. Its totient is φ = 914761728000.

The previous prime is 4005321331183. The next prime is 4005321331201. The reversal of 4005321331200 is 21331235004.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4005321331201) 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, 376045875 + ... + 376056525.

It is an arithmetic number, because the mean of its divisors is an integer number (31528641760).

Almost surely, 2^{4005321331200} is an apocalyptic number.

4005321331200 is a gapful number since it is divisible by the number (40) 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 4005321331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566874022400).

4005321331200 is an abundant number, since it is smaller than the sum of its proper divisors (11128426713600).

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

4005321331200 is a wasteful number, since it uses less digits than its factorization.

4005321331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12088 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 4005321331200 its reverse (21331235004), we get a palindrome (4026652566204).

The spelling of 4005321331200 in words is "four trillion, five billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".