4004213320 has 64 divisors (see below), whose sum is σ = 9761368320. Its totient is φ = 1472400384.

The previous prime is 4004213287. The next prime is 4004213333. The reversal of 4004213320 is 233124004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39232 + ... + 97711.

It is an arithmetic number, because the mean of its divisors is an integer number (152521380).

Almost surely, 2^4004213320 is an apocalyptic number.

4004213320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004213320 is an abundant number, since it is smaller than the sum of its proper divisors (5757155000).

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

4004213320 is a wasteful number, since it uses less digits than its factorization.

4004213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137014 (or 137010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4004213320 is about 63278.8536558620. The cubic root of 4004213320 is about 1587.9582087740.

Adding to 4004213320 its reverse (233124004), we get a palindrome (4237337324).

The spelling of 4004213320 in words is "four billion, four million, two hundred thirteen thousand, three hundred twenty".