204412434000 has 80 divisors (see below), whose sum is σ = 659025706560. Its totient is φ = 54509980800.

The previous prime is 204412433989. The next prime is 204412434071. The reversal of 204412434000 is 434214402.

It is a happy number.

204412434000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17028370 + ... + 17040369.

It is an arithmetic number, because the mean of its divisors is an integer number (8237821332).

Almost surely, 2^204412434000 is an apocalyptic number.

204412434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204412434000 is an abundant number, since it is smaller than the sum of its proper divisors (454613272560).

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

204412434000 is a wasteful number, since it uses less digits than its factorization.

204412434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34068765 (or 34068749 counting only the distinct ones).

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

Adding to 204412434000 its reverse (434214402), we get a palindrome (204846648402).

The spelling of 204412434000 in words is "two hundred four billion, four hundred twelve million, four hundred thirty-four thousand".