204326406144 has 960 divisors, whose sum is σ = 752438232000. Its totient is φ = 55306395648.

The previous prime is 204326406139. The next prime is 204326406191. The reversal of 204326406144 is 441604623402.

204326406144 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 2 + 640 + 6 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204326406099 and 204326406108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10754021367 + ... + 10754021385.

It is an arithmetic number, because the mean of its divisors is an integer number (783789825).

Almost surely, 2^204326406144 is an apocalyptic number.

204326406144 is a gapful number since it is divisible by the number (24) 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 204326406144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376219116000).

204326406144 is an abundant number, since it is smaller than the sum of its proper divisors (548111825856).

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

204326406144 is an frugal number, since it uses more digits than its factorization.

204326406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 204326406144 in words is "two hundred four billion, three hundred twenty-six million, four hundred six thousand, one hundred forty-four".