201324004400 has 60 divisors (see below), whose sum is σ = 488667415992. Its totient is φ = 79699384320.

The previous prime is 201324004397. The next prime is 201324004423. The reversal of 201324004400 is 4400423102.

201324004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2555582 + ... + 2633181.

Almost surely, 2^201324004400 is an apocalyptic number.

201324004400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201324004400 is an abundant number, since it is smaller than the sum of its proper divisors (287343411592).

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

201324004400 is a wasteful number, since it uses less digits than its factorization.

201324004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188878 (or 5188867 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 201324004400 its reverse (4400423102), we get a palindrome (205724427502).

The spelling of 201324004400 in words is "two hundred one billion, three hundred twenty-four million, four thousand, four hundred".