206216930040 has 256 divisors, whose sum is σ = 704912440320. Its totient is φ = 47772426240.

The previous prime is 206216930039. The next prime is 206216930053. The reversal of 206216930040 is 40039612602.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 206216929983 and 206216930010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39374302 + ... + 39379538.

It is an arithmetic number, because the mean of its divisors is an integer number (2753564220).

Almost surely, 2^206216930040 is an apocalyptic number.

206216930040 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 206216930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352456220160).

206216930040 is an abundant number, since it is smaller than the sum of its proper divisors (498695510280).

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

206216930040 is a wasteful number, since it uses less digits than its factorization.

206216930040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 206216930040 in words is "two hundred six billion, two hundred sixteen million, nine hundred thirty thousand, forty".