205355041440 has 384 divisors, whose sum is σ = 693741065472. Its totient is φ = 50881167360.

The previous prime is 205355041439. The next prime is 205355041471. The reversal of 205355041440 is 44140553502.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240744054 + ... + 240744906.

It is an arithmetic number, because the mean of its divisors is an integer number (1806617358).

Almost surely, 2^205355041440 is an apocalyptic number.

205355041440 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 205355041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346870532736).

205355041440 is an abundant number, since it is smaller than the sum of its proper divisors (488386024032).

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

205355041440 is a wasteful number, since it uses less digits than its factorization.

205355041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 205355041440 its reverse (44140553502), we get a palindrome (249495594942).

The spelling of 205355041440 in words is "two hundred five billion, three hundred fifty-five million, forty-one thousand, four hundred forty".