4164498360 has 160 divisors (see below), whose sum is σ = 15269958000. Its totient is φ = 1009566720.

The previous prime is 4164498343. The next prime is 4164498361. The reversal of 4164498360 is 638944614.

4164498360 is a `hidden beast` number, since 41 + 64 + 498 + 3 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164498361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22785 + ... + 94064.

Almost surely, 2^4164498360 is an apocalyptic number.

4164498360 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 4164498360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634979000).

4164498360 is an abundant number, since it is smaller than the sum of its proper divisors (11105459640).

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

4164498360 is a wasteful number, since it uses less digits than its factorization.

4164498360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116883 (or 116870 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4164498360 is about 64532.9246199179. The cubic root of 4164498360 is about 1608.8697956336.

The spelling of 4164498360 in words is "four billion, one hundred sixty-four million, four hundred ninety-eight thousand, three hundred sixty".