206205502440 has 192 divisors, whose sum is σ = 720064200960. Its totient is φ = 47103275520.

The previous prime is 206205502387. The next prime is 206205502441. The reversal of 206205502440 is 44205502602.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 206205502398 and 206205502407.

It is not an unprimeable number, because it can be changed into a prime (206205502441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10227009 + ... + 10247151.

It is an arithmetic number, because the mean of its divisors is an integer number (3750334380).

Almost surely, 2^206205502440 is an apocalyptic number.

206205502440 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 206205502440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360032100480).

206205502440 is an abundant number, since it is smaller than the sum of its proper divisors (513858698520).

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

206205502440 is a wasteful number, since it uses less digits than its factorization.

206205502440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912 (or 21901 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

It can be divided in two parts, 206205 and 502440, that added together give a triangular number (708645 = T₁₁₉₀).

The spelling of 206205502440 in words is "two hundred six billion, two hundred five million, five hundred two thousand, four hundred forty".