204135400800 has 576 divisors, whose sum is σ = 758111477760. Its totient is φ = 52987760640.

The previous prime is 204135400783. The next prime is 204135400877. The reversal of 204135400800 is 8004531402.

204135400800 is a `hidden beast` number, since 2 + 0 + 41 + 3 + 540 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 236541169 + ... + 236542031.

It is an arithmetic number, because the mean of its divisors is an integer number (1316165760).

Almost surely, 2^204135400800 is an apocalyptic number.

204135400800 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 204135400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379055738880).

204135400800 is an abundant number, since it is smaller than the sum of its proper divisors (553976076960).

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

204135400800 is a wasteful number, since it uses less digits than its factorization.

204135400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 204135400800 in words is "two hundred four billion, one hundred thirty-five million, four hundred thousand, eight hundred".