204045402400 has 144 divisors (see below), whose sum is σ = 569991268224. Its totient is φ = 69871841280.

The previous prime is 204045402373. The next prime is 204045402401. The reversal of 204045402400 is 4204540402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (204045402401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4586664 + ... + 4630936.

It is an arithmetic number, because the mean of its divisors is an integer number (3958272696).

Almost surely, 2^204045402400 is an apocalyptic number.

204045402400 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 204045402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284995634112).

204045402400 is an abundant number, since it is smaller than the sum of its proper divisors (365945865824).

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

204045402400 is a wasteful number, since it uses less digits than its factorization.

204045402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45123 (or 45110 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 204045402400 its reverse (4204540402), we get a palindrome (208249942802).

The spelling of 204045402400 in words is "two hundred four billion, forty-five million, four hundred two thousand, four hundred".