4013305604 has 72 divisors (see below), whose sum is σ = 9300287808. Its totient is φ = 1495623360.

The previous prime is 4013305589. The next prime is 4013305619. The reversal of 4013305604 is 4065033104.

It is an interprime number because it is at equal distance from previous prime (4013305589) and next prime (4013305619).

It is a super-2 number, since 2×4013305604² = 32213243742195609632, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9122 + ... + 90054.

It is an arithmetic number, because the mean of its divisors is an integer number (129170664).

Almost surely, 2^4013305604 is an apocalyptic number.

4013305604 is a gapful number since it is divisible by the number (44) 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 4013305604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650143904).

4013305604 is an abundant number, since it is smaller than the sum of its proper divisors (5286982204).

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

4013305604 is a wasteful number, since it uses less digits than its factorization.

4013305604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80985 (or 80976 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 4013305604 is about 63350.6559082067. The cubic root of 4013305604 is about 1589.1592147709.

Adding to 4013305604 its reverse (4065033104), we get a palindrome (8078338708).

The spelling of 4013305604 in words is "four billion, thirteen million, three hundred five thousand, six hundred four".