4042412310304 has 48 divisors (see below), whose sum is σ = 8001215321400. Its totient is φ = 2010386534400.

The previous prime is 4042412310283. The next prime is 4042412310337. The reversal of 4042412310304 is 4030132142404.

4042412310304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4021228090000 + 21184220304 = 2005300^2 + 145548^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4027042 + ... + 4929694.

Almost surely, 2^{4042412310304} is an apocalyptic number.

It is an amenable number.

4042412310304 is a deficient number, since it is larger than the sum of its proper divisors (3958803011096).

4042412310304 is a wasteful number, since it uses less digits than its factorization.

4042412310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903413 (or 903405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4042412310304 its reverse (4030132142404), we get a palindrome (8072544452708).

The spelling of 4042412310304 in words is "four trillion, forty-two billion, four hundred twelve million, three hundred ten thousand, three hundred four".