10400412304 has 20 divisors (see below), whose sum is σ = 20152398780. Its totient is φ = 5199793280.

The previous prime is 10400412263. The next prime is 10400412307. The reversal of 10400412304 is 40321400401.

10400412304 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 2 ways, for example, as 2698594704 + 7701817600 = 51948^2 + 87760^2 .

It is not an unprimeable number, because it can be changed into a prime (10400412307) 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 3 ways as a sum of consecutive naturals, for example, 334242 + ... + 364030.

It is an arithmetic number, because the mean of its divisors is an integer number (1007619939).

Almost surely, 2^10400412304 is an apocalyptic number.

It is an amenable number.

10400412304 is a deficient number, since it is larger than the sum of its proper divisors (9751986476).

10400412304 is a wasteful number, since it uses less digits than its factorization.

10400412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51618 (or 51612 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10400412304 its reverse (40321400401), we get a palindrome (50721812705).

The spelling of 10400412304 in words is "ten billion, four hundred million, four hundred twelve thousand, three hundred four".