4004704641 has 16 divisors (see below), whose sum is σ = 6162830208. Its totient is φ = 2265744000.

The previous prime is 4004704619. The next prime is 4004704663. The reversal of 4004704641 is 1464074004.

It is an interprime number because it is at equal distance from previous prime (4004704619) and next prime (4004704663).

It is not a de Polignac number, because 4004704641 - 2¹⁴ = 4004688257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004704599 and 4004704608.

It is not an unprimeable number, because it can be changed into a prime (4004704441) by changing a digit.

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, 941940 + ... + 946181.

It is an arithmetic number, because the mean of its divisors is an integer number (385176888).

Almost surely, 2^4004704641 is an apocalyptic number.

It is an amenable number.

4004704641 is a deficient number, since it is larger than the sum of its proper divisors (2158125567).

4004704641 is a wasteful number, since it uses less digits than its factorization.

4004704641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888232.

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4004704641 is about 63282.7357262627. The cubic root of 4004704641 is about 1588.0231541407.

Adding to 4004704641 its reverse (1464074004), we get a palindrome (5468778645).

It can be divided in two parts, 4004 and 704641, that added together give a triangular number (708645 = T₁₁₉₀).

The spelling of 4004704641 in words is "four billion, four million, seven hundred four thousand, six hundred forty-one".