4165936830 has 192 divisors, whose sum is σ = 12086081280. Its totient is φ = 995375040.

The previous prime is 4165936811. The next prime is 4165936849. The reversal of 4165936830 is 386395614.

It is an interprime number because it is at equal distance from previous prime (4165936811) and next prime (4165936849).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9942361 + ... + 9942779.

It is an arithmetic number, because the mean of its divisors is an integer number (62948340).

Almost surely, 2^4165936830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4165936830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043040640).

4165936830 is an abundant number, since it is smaller than the sum of its proper divisors (7920144450).

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

4165936830 is a wasteful number, since it uses less digits than its factorization.

4165936830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4165936830 is about 64544.0688986990. The cubic root of 4165936830 is about 1609.0550155827.

The spelling of 4165936830 in words is "four billion, one hundred sixty-five million, nine hundred thirty-six thousand, eight hundred thirty".