205331250201440 has 192 divisors, whose sum is σ = 532403981706240. Its totient is φ = 74213159024640.

The previous prime is 205331250201373. The next prime is 205331250201457. The reversal of 205331250201440 is 44102052133502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 205331250201397 and 205331250201406.

It is a congruent 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, 6971473754 + ... + 6971503206.

It is an arithmetic number, because the mean of its divisors is an integer number (2772937404720).

Almost surely, 2^{205331250201440} is an apocalyptic number.

205331250201440 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 205331250201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266201990853120).

205331250201440 is an abundant number, since it is smaller than the sum of its proper divisors (327072731504800).

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

205331250201440 is a wasteful number, since it uses less digits than its factorization.

205331250201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53365 (or 53357 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 205331250201440 in words is "two hundred five trillion, three hundred thirty-one billion, two hundred fifty million, two hundred one thousand, four hundred forty".