10400114324 has 12 divisors (see below), whose sum is σ = 18200918484. Its totient is φ = 5199851904.

The previous prime is 10400114321. The next prime is 10400114339. The reversal of 10400114324 is 42341100401.

10400114324 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 5285290000 + 5114824324 = 72700^2 + 71518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10400114296 and 10400114305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400114321) 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, 153674 + ... + 210750.

It is an arithmetic number, because the mean of its divisors is an integer number (1516743207).

Almost surely, 2^10400114324 is an apocalyptic number.

It is an amenable number.

10400114324 is a deficient number, since it is larger than the sum of its proper divisors (7800804160).

10400114324 is a wasteful number, since it uses less digits than its factorization.

10400114324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102634 (or 102632 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10400114324 its reverse (42341100401), we get a palindrome (52741214725).

The spelling of 10400114324 in words is "ten billion, four hundred million, one hundred fourteen thousand, three hundred twenty-four".