4004304461224 has 64 divisors (see below), whose sum is σ = 7635377312640. Its totient is φ = 1968528825600.

The previous prime is 4004304461207. The next prime is 4004304461273. The reversal of 4004304461224 is 4221644034004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004304461224.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67334047 + ... + 67393489.

It is an arithmetic number, because the mean of its divisors is an integer number (119302770510).

Almost surely, 2^{4004304461224} is an apocalyptic number.

It is an amenable number.

4004304461224 is a deficient number, since it is larger than the sum of its proper divisors (3631072851416).

4004304461224 is a wasteful number, since it uses less digits than its factorization.

4004304461224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60130 (or 60126 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 4004304461224 its reverse (4221644034004), we get a palindrome (8225948495228).

The spelling of 4004304461224 in words is "four trillion, four billion, three hundred four million, four hundred sixty-one thousand, two hundred twenty-four".