204403214400 has 672 divisors, whose sum is σ = 858743227392. Its totient is φ = 41322700800.

The previous prime is 204403214359. The next prime is 204403214443. The reversal of 204403214400 is 4412304402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13667727 + ... + 13682673.

Almost surely, 2^204403214400 is an apocalyptic number.

204403214400 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 204403214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429371613696).

204403214400 is an abundant number, since it is smaller than the sum of its proper divisors (654340012992).

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

204403214400 is a wasteful number, since it uses less digits than its factorization.

204403214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15027 (or 15012 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204403214400 its reverse (4412304402), we get a palindrome (208815518802).

The spelling of 204403214400 in words is "two hundred four billion, four hundred three million, two hundred fourteen thousand, four hundred".