4004164530 has 320 divisors, whose sum is σ = 12194012160. Its totient is φ = 937322496.

The previous prime is 4004164523. The next prime is 4004164561. The reversal of 4004164530 is 354614004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4004164494 and 4004164503.

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 159 ways as a sum of consecutive naturals, for example, 14885236 + ... + 14885504.

It is an arithmetic number, because the mean of its divisors is an integer number (38106288).

Almost surely, 2^4004164530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004164530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097006080).

4004164530 is an abundant number, since it is smaller than the sum of its proper divisors (8189847630).

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

4004164530 is a wasteful number, since it uses less digits than its factorization.

4004164530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4004164530 is about 63278.4681388543. The cubic root of 4004164530 is about 1587.9517591679.

Adding to 4004164530 its reverse (354614004), we get a palindrome (4358778534).

The spelling of 4004164530 in words is "four billion, four million, one hundred sixty-four thousand, five hundred thirty".