205234044240000 has 1280 divisors, whose sum is σ = 716741421327360. Its totient is φ = 51953664000000.

The previous prime is 205234044239941. The next prime is 205234044240023. The reversal of 205234044240000 is 42440432502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 205234044240000.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84912718792 + ... + 84912721208.

It is an arithmetic number, because the mean of its divisors is an integer number (559954235412).

Almost surely, 2^{205234044240000} is an apocalyptic number.

205234044240000 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 205234044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358370710663680).

205234044240000 is an abundant number, since it is smaller than the sum of its proper divisors (511507377087360).

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

205234044240000 is a wasteful number, since it uses less digits than its factorization.

205234044240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 205234044240000 its reverse (42440432502), we get a palindrome (205276484672502).

The spelling of 205234044240000 in words is "two hundred five trillion, two hundred thirty-four billion, forty-four million, two hundred forty thousand".