10344130401 has 48 divisors (see below), whose sum is σ = 15356073600. Its totient is φ = 6188582400.

The previous prime is 10344130397. The next prime is 10344130409. The reversal of 10344130401 is 10403144301.

10344130401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10344130401 - 2² = 10344130397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10344130409) 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 47 ways as a sum of consecutive naturals, for example, 17268700 + ... + 17269298.

It is an arithmetic number, because the mean of its divisors is an integer number (319918200).

Almost surely, 2^10344130401 is an apocalyptic number.

10344130401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10344130401 is a deficient number, since it is larger than the sum of its proper divisors (5011943199).

10344130401 is a wasteful number, since it uses less digits than its factorization.

10344130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10344130401 its reverse (10403144301), we get a palindrome (20747274702).

The spelling of 10344130401 in words is "ten billion, three hundred forty-four million, one hundred thirty thousand, four hundred one".