206623260440 has 64 divisors (see below), whose sum is σ = 472939776000. Its totient is φ = 81221362560.

The previous prime is 206623260439. The next prime is 206623260449. The reversal of 206623260440 is 44062326602.

206623260440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 206623260440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206623260449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7989851 + ... + 8015669.

It is an arithmetic number, because the mean of its divisors is an integer number (7389684000).

Almost surely, 2^206623260440 is an apocalyptic number.

206623260440 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 206623260440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236469888000).

206623260440 is an abundant number, since it is smaller than the sum of its proper divisors (266316515560).

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

206623260440 is a wasteful number, since it uses less digits than its factorization.

206623260440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29280 (or 29276 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 206623260440 in words is "two hundred six billion, six hundred twenty-three million, two hundred sixty thousand, four hundred forty".