204425358299040 has 384 divisors, whose sum is σ = 707454707097600. Its totient is φ = 49388258304000.

The previous prime is 204425358299023. The next prime is 204425358299047. The reversal of 204425358299040 is 40992853524402.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (204425358299047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996467196 + ... + 996672324.

It is an arithmetic number, because the mean of its divisors is an integer number (1842329966400).

Almost surely, 2^{204425358299040} is an apocalyptic number.

204425358299040 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 204425358299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353727353548800).

204425358299040 is an abundant number, since it is smaller than the sum of its proper divisors (503029348798560).

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

204425358299040 is a wasteful number, since it uses less digits than its factorization.

204425358299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209940 (or 209932 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 57.

The spelling of 204425358299040 in words is "two hundred four trillion, four hundred twenty-five billion, three hundred fifty-eight million, two hundred ninety-nine thousand, forty".