204423991056000 has 1536 divisors, whose sum is σ = 803021611392000. Its totient is φ = 51539352883200.

The previous prime is 204423991055971. The next prime is 204423991056023. The reversal of 204423991056000 is 650199324402.

204423991056000 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 2 + 39 + 9 + 1 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40407981471 + ... + 40407986529.

It is an arithmetic number, because the mean of its divisors is an integer number (522800528250).

Almost surely, 2^{204423991056000} is an apocalyptic number.

204423991056000 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 204423991056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401510805696000).

204423991056000 is an abundant number, since it is smaller than the sum of its proper divisors (598597620336000).

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

204423991056000 is an equidigital number, since it uses as much as digits as its factorization.

204423991056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 204423991056000 in words is "two hundred four trillion, four hundred twenty-three billion, nine hundred ninety-one million, fifty-six thousand".