204417773942940 has 288 divisors, whose sum is σ = 657108638536896. Its totient is φ = 51260578652160.

The previous prime is 204417773942927. The next prime is 204417773942999. The reversal of 204417773942940 is 49249377714402.

It is a happy number.

204417773942940 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 177 + 7 + 39 + 429 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29148402874 + ... + 29148409886.

It is an arithmetic number, because the mean of its divisors is an integer number (2281627217142).

Almost surely, 2^{204417773942940} is an apocalyptic number.

204417773942940 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 204417773942940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328554319268448).

204417773942940 is an abundant number, since it is smaller than the sum of its proper divisors (452690864593956).

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

204417773942940 is a wasteful number, since it uses less digits than its factorization.

204417773942940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13909 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 204417773942940 in words is "two hundred four trillion, four hundred seventeen billion, seven hundred seventy-three million, nine hundred forty-two thousand, nine hundred forty".