4165213248 has 252 divisors, whose sum is σ = 14706665532. Its totient is φ = 1119928320.

The previous prime is 4165213243. The next prime is 4165213253. The reversal of 4165213248 is 8423125614.

It is a happy number.

4165213248 is a `hidden beast` number, since 416 + 5 + 213 + 24 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4165213243) and next prime (4165213253).

It can be written as a sum of positive squares in 2 ways, for example, as 3339915264 + 825297984 = 57792^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (4165213243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 475468 + ... + 484148.

Almost surely, 2^4165213248 is an apocalyptic number.

4165213248 is a gapful number since it is divisible by the number (48) 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 4165213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353332766).

4165213248 is an abundant number, since it is smaller than the sum of its proper divisors (10541452284).

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

4165213248 is a wasteful number, since it uses less digits than its factorization.

4165213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8730 (or 8710 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4165213248 is about 64538.4633222701. The cubic root of 4165213248 is about 1608.9618512110.

The spelling of 4165213248 in words is "four billion, one hundred sixty-five million, two hundred thirteen thousand, two hundred forty-eight".