204700030093440 has 1152 divisors, whose sum is σ = 862268192276400. Its totient is φ = 44556210929664.

The previous prime is 204700030093439. The next prime is 204700030093463. The reversal of 204700030093440 is 44390030007402.

204700030093440 is a `hidden beast` number, since 2 + 0 + 4 + 7 + 0 + 0 + 0 + 300 + 9 + 344 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 156528323832384 + 48171706261056 = 12511128^2 + 6940584^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 204700030093395 and 204700030093404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 597330784 + ... + 597673376.

Almost surely, 2^{204700030093440} is an apocalyptic number.

204700030093440 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 204700030093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431134096138200).

204700030093440 is an abundant number, since it is smaller than the sum of its proper divisors (657568162182960).

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

204700030093440 is a wasteful number, since it uses less digits than its factorization.

204700030093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342734 (or 342712 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 204700030093440 in words is "two hundred four trillion, seven hundred billion, thirty million, ninety-three thousand, four hundred forty".