4165441500 has 192 divisors, whose sum is σ = 13592097792. Its totient is φ = 982368000.

The previous prime is 4165441499. The next prime is 4165441513. The reversal of 4165441500 is 51445614.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 607089 + ... + 613911.

It is an arithmetic number, because the mean of its divisors is an integer number (70792176).

Almost surely, 2^4165441500 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 4165441500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796048896).

4165441500 is an abundant number, since it is smaller than the sum of its proper divisors (9426656292).

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

4165441500 is a wasteful number, since it uses less digits than its factorization.

4165441500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4165441500 is about 64540.2316388778. The cubic root of 4165441500 is about 1608.9912408269.

It can be divided in two parts, 4165441 and 500, that added together give a triangular number (4165941 = T₂₈₈₆).

The spelling of 4165441500 in words is "four billion, one hundred sixty-five million, four hundred forty-one thousand, five hundred".