205228041000 has 512 divisors, whose sum is σ = 679594406400. Its totient is φ = 51489177600.

The previous prime is 205228040939. The next prime is 205228041013. The reversal of 205228041000 is 140822502.

205228041000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 700436854 + ... + 700437146.

It is an arithmetic number, because the mean of its divisors is an integer number (1327332825).

Almost surely, 2^205228041000 is an apocalyptic number.

205228041000 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 205228041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339797203200).

205228041000 is an abundant number, since it is smaller than the sum of its proper divisors (474366365400).

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

205228041000 is a wasteful number, since it uses less digits than its factorization.

205228041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 205228041000 its reverse (140822502), we get a palindrome (205368863502).

The spelling of 205228041000 in words is "two hundred five billion, two hundred twenty-eight million, forty-one thousand".