4164109404 has 192 divisors, whose sum is σ = 12973105152. Its totient is φ = 1008230400.

The previous prime is 4164109393. The next prime is 4164109409. The reversal of 4164109404 is 4049014614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164109409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758389 + ... + 763859.

It is an arithmetic number, because the mean of its divisors is an integer number (67568256).

Almost surely, 2^4164109404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164109404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486552576).

4164109404 is an abundant number, since it is smaller than the sum of its proper divisors (8808995748).

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

4164109404 is a wasteful number, since it uses less digits than its factorization.

4164109404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4164109404 is about 64529.9109250896. The cubic root of 4164109404 is about 1608.8197056436.

The spelling of 4164109404 in words is "four billion, one hundred sixty-four million, one hundred nine thousand, four hundred four".