4166909334 has 144 divisors (see below), whose sum is σ = 10739757600. Its totient is φ = 1163973888.

The previous prime is 4166909303. The next prime is 4166909339. The reversal of 4166909334 is 4339096614.

It is a self number, because there is not a number n which added to its sum of digits gives 4166909334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166909339) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8556039 + ... + 8556525.

It is an arithmetic number, because the mean of its divisors is an integer number (74581650).

Almost surely, 2^4166909334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166909334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369878800).

4166909334 is an abundant number, since it is smaller than the sum of its proper divisors (6572848266).

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

4166909334 is a wasteful number, since it uses less digits than its factorization.

4166909334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4166909334 is about 64551.6021025040. The cubic root of 4166909334 is about 1609.1802127675.

The spelling of 4166909334 in words is "four billion, one hundred sixty-six million, nine hundred nine thousand, three hundred thirty-four".