205421741280 has 1152 divisors, whose sum is σ = 910616878080. Its totient is φ = 42639851520.

The previous prime is 205421741237. The next prime is 205421741303. The reversal of 205421741280 is 82147124502.

205421741280 is a `hidden beast` number, since 20 + 5 + 4 + 217 + 412 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134174115 + ... + 134175645.

It is an arithmetic number, because the mean of its divisors is an integer number (790466040).

Almost surely, 2^205421741280 is an apocalyptic number.

205421741280 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 205421741280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455308439040).

205421741280 is an abundant number, since it is smaller than the sum of its proper divisors (705195136800).

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

205421741280 is a wasteful number, since it uses less digits than its factorization.

205421741280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 205421741280 its reverse (82147124502), we get a palindrome (287568865782).

The spelling of 205421741280 in words is "two hundred five billion, four hundred twenty-one million, seven hundred forty-one thousand, two hundred eighty".