204040608000 has 288 divisors, whose sum is σ = 688850827392. Its totient is φ = 53517312000.

The previous prime is 204040607993. The next prime is 204040608041. The reversal of 204040608000 is 806040402.

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 31 ways as a sum of consecutive naturals, for example, 5838579 + ... + 5873421.

Almost surely, 2^204040608000 is an apocalyptic number.

204040608000 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 204040608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344425413696).

204040608000 is an abundant number, since it is smaller than the sum of its proper divisors (484810219392).

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

204040608000 is an equidigital number, since it uses as much as digits as its factorization.

204040608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34938 (or 34914 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 204040608000 its reverse (806040402), we get a palindrome (204846648402).

The spelling of 204040608000 in words is "two hundred four billion, forty million, six hundred eight thousand".