4413004000 has 96 divisors (see below), whose sum is σ = 11095340256. Its totient is φ = 1724083200.

The previous prime is 4413003989. The next prime is 4413004027. The reversal of 4413004000 is 4003144.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 159172 + ... + 184828.

It is an arithmetic number, because the mean of its divisors is an integer number (115576461).

Almost surely, 2^4413004000 is an apocalyptic number.

4413004000 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 4413004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547670128).

4413004000 is an abundant number, since it is smaller than the sum of its proper divisors (6682336256).

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

4413004000 is a wasteful number, since it uses less digits than its factorization.

4413004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25725 (or 25707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4413004000 is about 66430.4448276541. Note that the first 3 decimals coincide. The cubic root of 4413004000 is about 1640.2552646485.

Adding to 4413004000 its reverse (4003144), we get a palindrome (4417007144).

The spelling of 4413004000 in words is "four billion, four hundred thirteen million, four thousand".