201324332400 has 120 divisors (see below), whose sum is σ = 645367622400. Its totient is φ = 53648305920.

The previous prime is 201324332399. The next prime is 201324332449. The reversal of 201324332400 is 4233423102.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1648651 + ... + 1766549.

It is an arithmetic number, because the mean of its divisors is an integer number (5378063520).

Almost surely, 2^201324332400 is an apocalyptic number.

201324332400 is a gapful number since it is divisible by the number (20) 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 201324332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322683811200).

201324332400 is an abundant number, since it is smaller than the sum of its proper divisors (444043290000).

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

201324332400 is a wasteful number, since it uses less digits than its factorization.

201324332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119343 (or 119332 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 201324332400 its reverse (4233423102), we get a palindrome (205557755502).

The spelling of 201324332400 in words is "two hundred one billion, three hundred twenty-four million, three hundred thirty-two thousand, four hundred".