4066209000 has 768 divisors, whose sum is σ = 17132544000. Its totient is φ = 849139200.

The previous prime is 4066208999. The next prime is 4066209001. The reversal of 4066209000 is 9026604.

It is an interprime number because it is at equal distance from previous prime (4066208999) and next prime (4066209001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066209001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51470961 + ... + 51471039.

It is an arithmetic number, because the mean of its divisors is an integer number (22308000).

Almost surely, 2^4066209000 is an apocalyptic number.

4066209000 is a gapful number since it is divisible by the number (40) 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 4066209000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8566272000).

4066209000 is an abundant number, since it is smaller than the sum of its proper divisors (13066335000).

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

4066209000 is a wasteful number, since it uses less digits than its factorization.

4066209000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4066209000 is about 63766.8330717466. The cubic root of 4066209000 is about 1596.1115210293. Note that the first 3 decimals are identical.

The spelling of 4066209000 in words is "four billion, sixty-six million, two hundred nine thousand".