204318401040 has 240 divisors, whose sum is σ = 739515761712. Its totient is φ = 50255364096.

The previous prime is 204318401017. The next prime is 204318401071. The reversal of 204318401040 is 40104813402.

204318401040 is a `hidden beast` number, since 204 + 3 + 18 + 401 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15312577536 + 189005823504 = 123744^2 + 434748^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 204318400995 and 204318401013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13405264 + ... + 13420496.

Almost surely, 2^204318401040 is an apocalyptic number.

204318401040 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 204318401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369757880856).

204318401040 is an abundant number, since it is smaller than the sum of its proper divisors (535197360672).

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

204318401040 is a wasteful number, since it uses less digits than its factorization.

204318401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16698 (or 16689 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 204318401040 in words is "two hundred four billion, three hundred eighteen million, four hundred one thousand, forty".