204984041472 has 480 divisors, whose sum is σ = 707767200000. Its totient is φ = 57415827456.

The previous prime is 204984041461. The next prime is 204984041557. The reversal of 204984041472 is 274140489402.

204984041472 is a `hidden beast` number, since 20 + 49 + 84 + 0 + 41 + 472 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164117904 + ... + 164119152.

It is an arithmetic number, because the mean of its divisors is an integer number (1474515000).

Almost surely, 2^204984041472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204984041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353883600000).

204984041472 is an abundant number, since it is smaller than the sum of its proper divisors (502783158528).

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

204984041472 is an equidigital number, since it uses as much as digits as its factorization.

204984041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 204984041472 in words is "two hundred four billion, nine hundred eighty-four million, forty-one thousand, four hundred seventy-two".