204856601040 has 1440 divisors, whose sum is σ = 910260239616. Its totient is φ = 42430832640.

The previous prime is 204856601039. The next prime is 204856601051. The reversal of 204856601040 is 40106658402.

204856601040 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 5 + 6 + 601 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 204856600986 and 204856601004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 879212764 + ... + 879212996.

Almost surely, 2^204856601040 is an apocalyptic number.

204856601040 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 204856601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455130119808).

204856601040 is an abundant number, since it is smaller than the sum of its proper divisors (705403638576).

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

204856601040 is a wasteful number, since it uses less digits than its factorization.

204856601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 204856601040 in words is "two hundred four billion, eight hundred fifty-six million, six hundred one thousand, forty".