4004031413 has 8 divisors (see below), whose sum is σ = 4057516800. Its totient is φ = 3950735008.

The previous prime is 4004031407. The next prime is 4004031419. The reversal of 4004031413 is 3141304004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4004031407) and next prime (4004031419).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004031413 - 2¹⁰ = 4004030389 is a prime.

It is a super-3 number, since 3×4004031413³ (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004031419) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4331 + ... + 89592.

It is an arithmetic number, because the mean of its divisors is an integer number (507189600).

Almost surely, 2^4004031413 is an apocalyptic number.

It is an amenable number.

4004031413 is a deficient number, since it is larger than the sum of its proper divisors (53485387).

4004031413 is an equidigital number, since it uses as much as digits as its factorization.

4004031413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94491.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4004031413 is about 63277.4162952313. The cubic root of 4004031413 is about 1587.9341620125.

Adding to 4004031413 its reverse (3141304004), we get a palindrome (7145335417).

The spelling of 4004031413 in words is "four billion, four million, thirty-one thousand, four hundred thirteen".