204378655040 has 672 divisors, whose sum is σ = 619245139968. Its totient is φ = 63866880000.

The previous prime is 204378655007. The next prime is 204378655051. The reversal of 204378655040 is 40556873402.

204378655040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204378654982 and 204378655000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1129163750 + ... + 1129163930.

It is an arithmetic number, because the mean of its divisors is an integer number (921495744).

Almost surely, 2^204378655040 is an apocalyptic number.

204378655040 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 204378655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309622569984).

204378655040 is an abundant number, since it is smaller than the sum of its proper divisors (414866484928).

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

204378655040 is a wasteful number, since it uses less digits than its factorization.

204378655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 204378655040 in words is "two hundred four billion, three hundred seventy-eight million, six hundred fifty-five thousand, forty".