205411350240 has 72 divisors (see below), whose sum is σ = 700966237608. Its totient is φ = 54776359680.

The previous prime is 205411350191. The next prime is 205411350241. The reversal of 205411350240 is 42053114502.

205411350240 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 113 + 502 + 40 = 666.

205411350240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205411350241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71321946 + ... + 71324825.

It is an arithmetic number, because the mean of its divisors is an integer number (9735642189).

Almost surely, 2^205411350240 is an apocalyptic number.

205411350240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205411350240 is an abundant number, since it is smaller than the sum of its proper divisors (495554887368).

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

205411350240 is a wasteful number, since it uses less digits than its factorization.

205411350240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142646792 (or 142646781 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 205411350240 its reverse (42053114502), we get a palindrome (247464464742).

The spelling of 205411350240 in words is "two hundred five billion, four hundred eleven million, three hundred fifty thousand, two hundred forty".