204013410000 has 200 divisors, whose sum is σ = 659740065600. Its totient is φ = 54307968000.

The previous prime is 204013409983. The next prime is 204013410011. The reversal of 204013410000 is 14310402.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17964324 + ... + 17975676.

It is an arithmetic number, because the mean of its divisors is an integer number (3298700328).

Almost surely, 2^204013410000 is an apocalyptic number.

204013410000 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 204013410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329870032800).

204013410000 is an abundant number, since it is smaller than the sum of its proper divisors (455726655600).

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

204013410000 is a wasteful number, since it uses less digits than its factorization.

204013410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11983 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 204013410000 its reverse (14310402), we get a palindrome (204027720402).

The spelling of 204013410000 in words is "two hundred four billion, thirteen million, four hundred ten thousand".