204293386440 has 1024 divisors, whose sum is σ = 838862438400. Its totient is φ = 43545600000.

The previous prime is 204293386421. The next prime is 204293386447. The reversal of 204293386440 is 44683392402.

204293386440 is a `hidden beast` number, since 2 + 0 + 42 + 93 + 3 + 86 + 440 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (204293386447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 339922140 + ... + 339922740.

It is an arithmetic number, because the mean of its divisors is an integer number (819201600).

Almost surely, 2^204293386440 is an apocalyptic number.

204293386440 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 204293386440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419431219200).

204293386440 is an abundant number, since it is smaller than the sum of its proper divisors (634569051960).

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

204293386440 is a wasteful number, since it uses less digits than its factorization.

204293386440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 204293386440 in words is "two hundred four billion, two hundred ninety-three million, three hundred eighty-six thousand, four hundred forty".