205412445414 has 96 divisors (see below), whose sum is σ = 502835973120. Its totient is φ = 60063561600.

The previous prime is 205412445397. The next prime is 205412445439. The reversal of 205412445414 is 414544214502.

205412445414 is a `hidden beast` number, since 20 + 54 + 1 + 2 + 44 + 541 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505282 + ... + 816170.

It is an arithmetic number, because the mean of its divisors is an integer number (5237874720).

Almost surely, 2^205412445414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205412445414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251417986560).

205412445414 is an abundant number, since it is smaller than the sum of its proper divisors (297423527706).

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

205412445414 is a wasteful number, since it uses less digits than its factorization.

205412445414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311026 (or 311023 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 205412445414 its reverse (414544214502), we get a palindrome (619956659916).

The spelling of 205412445414 in words is "two hundred five billion, four hundred twelve million, four hundred forty-five thousand, four hundred fourteen".