200105203440 has 320 divisors, whose sum is σ = 673892296704. Its totient is φ = 48926736384.

The previous prime is 200105203439. The next prime is 200105203477. The reversal of 200105203440 is 44302501002.

It is a congruent number.

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, 43527222 + ... + 43531818.

Almost surely, 2^200105203440 is an apocalyptic number.

200105203440 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 200105203440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336946148352).

200105203440 is an abundant number, since it is smaller than the sum of its proper divisors (473787093264).

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

200105203440 is a wasteful number, since it uses less digits than its factorization.

200105203440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 200105203440 its reverse (44302501002), we get a palindrome (244407704442).

The spelling of 200105203440 in words is "two hundred billion, one hundred five million, two hundred three thousand, four hundred forty".