205030909440 has 960 divisors, whose sum is σ = 854880998400. Its totient is φ = 44421414912.

The previous prime is 205030909429. The next prime is 205030909471. The reversal of 205030909440 is 44909030502.

205030909440 is a `hidden beast` number, since 20 + 503 + 0 + 9 + 0 + 94 + 40 = 666.

205030909440 is digitally balanced in base 2, 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 (960).

It is a super-2 number, since 2×205030909440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 205030909395 and 205030909404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275949709 + ... + 275950451.

It is an arithmetic number, because the mean of its divisors is an integer number (890501040).

Almost surely, 2^205030909440 is an apocalyptic number.

205030909440 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 205030909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427440499200).

205030909440 is an abundant number, since it is smaller than the sum of its proper divisors (649850088960).

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

205030909440 is a wasteful number, since it uses less digits than its factorization.

205030909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 205030909440 its reverse (44909030502), we get a palindrome (249939939942).

The spelling of 205030909440 in words is "two hundred five billion, thirty million, nine hundred nine thousand, four hundred forty".