205541414120 has 128 divisors (see below), whose sum is σ = 531093024000. Its totient is φ = 70131142656.

The previous prime is 205541414093. The next prime is 205541414219. The reversal of 205541414120 is 21414145502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57946187 + ... + 57949733.

It is an arithmetic number, because the mean of its divisors is an integer number (4149164250).

Almost surely, 2^205541414120 is an apocalyptic number.

205541414120 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 205541414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265546512000).

205541414120 is an abundant number, since it is smaller than the sum of its proper divisors (325551609880).

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

205541414120 is a wasteful number, since it uses less digits than its factorization.

205541414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4507 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 205541414120 its reverse (21414145502), we get a palindrome (226955559622).

The spelling of 205541414120 in words is "two hundred five billion, five hundred forty-one million, four hundred fourteen thousand, one hundred twenty".