204541354640 has 320 divisors, whose sum is σ = 589301568000. Its totient is φ = 65870751744.

The previous prime is 204541354489. The next prime is 204541354709. The reversal of 204541354640 is 46453145402.

It is a junction number, because it is equal to n+sod(n) for n = 204541354594 and 204541354603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29439647 + ... + 29446593.

It is an arithmetic number, because the mean of its divisors is an integer number (1841567400).

Almost surely, 2^204541354640 is an apocalyptic number.

204541354640 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 204541354640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294650784000).

204541354640 is an abundant number, since it is smaller than the sum of its proper divisors (384760213360).

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

204541354640 is a wasteful number, since it uses less digits than its factorization.

204541354640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 204541354640 in words is "two hundred four billion, five hundred forty-one million, three hundred fifty-four thousand, six hundred forty".