4164165360 has 240 divisors, whose sum is σ = 14247668448. Its totient is φ = 1089792000.

The previous prime is 4164165359. The next prime is 4164165371. The reversal of 4164165360 is 635614614.

It is a happy number.

4164165360 is a `hidden beast` number, since 4 + 1 + 641 + 6 + 5 + 3 + 6 + 0 = 666.

4164165360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12580395 + ... + 12580725.

Almost surely, 2^4164165360 is an apocalyptic number.

4164165360 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 4164165360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7123834224).

4164165360 is an abundant number, since it is smaller than the sum of its proper divisors (10083503088).

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

4164165360 is a wasteful number, since it uses less digits than its factorization.

4164165360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4164165360 is about 64530.3444900149. The cubic root of 4164165360 is about 1608.8269118834.

Adding to 4164165360 its reverse (635614614), we get a palindrome (4799779974).

The spelling of 4164165360 in words is "four billion, one hundred sixty-four million, one hundred sixty-five thousand, three hundred sixty".