204040133112320 has 80 divisors (see below), whose sum is σ = 491752910408760. Its totient is φ = 81193171943424.

The previous prime is 204040133112301. The next prime is 204040133112329. The reversal of 204040133112320 is 23211331040402.

It can be written as a sum of positive squares in 4 ways, for example, as 87551802175744 + 116488330936576 = 9356912^2 + 10792976^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 204040133112320.

It is not an unprimeable number, because it can be changed into a prime (204040133112329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205990835 + ... + 206978994.

Almost surely, 2^{204040133112320} is an apocalyptic number.

204040133112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204040133112320 is an abundant number, since it is smaller than the sum of its proper divisors (287712777296440).

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

204040133112320 is an equidigital number, since it uses as much as digits as its factorization.

204040133112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412970045 (or 412970029 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 204040133112320 its reverse (23211331040402), we get a palindrome (227251464152722).

The spelling of 204040133112320 in words is "two hundred four trillion, forty billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty".