4303312400401 has 48 divisors (see below), whose sum is σ = 5375808234576. Its totient is φ = 3422212706304.

The previous prime is 4303312400357. The next prime is 4303312400447. The reversal of 4303312400401 is 1040042133034.

It can be written as a sum of positive squares in 8 ways, for example, as 48333582801 + 4254978817600 = 219849^2 + 2062760^2 .

It is not a de Polignac number, because 4303312400401 - 2¹³ = 4303312392209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4303312400201) 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 47 ways as a sum of consecutive naturals, for example, 121417855 + ... + 121453291.

It is an arithmetic number, because the mean of its divisors is an integer number (111996004887).

Almost surely, 2^{4303312400401} is an apocalyptic number.

It is an amenable number.

4303312400401 is a deficient number, since it is larger than the sum of its proper divisors (1072495834175).

4303312400401 is a wasteful number, since it uses less digits than its factorization.

4303312400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37538 (or 37531 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 4303312400401 its reverse (1040042133034), we get a palindrome (5343354533435).

The spelling of 4303312400401 in words is "four trillion, three hundred three billion, three hundred twelve million, four hundred thousand, four hundred one".