10414332123 has 48 divisors (see below), whose sum is σ = 15291327744. Its totient is φ = 6300827520.

The previous prime is 10414332119. The next prime is 10414332133. The reversal of 10414332123 is 32123341401.

It is a happy number.

It is not a de Polignac number, because 10414332123 - 2² = 10414332119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10414332093 and 10414332102.

It is not an unprimeable number, because it can be changed into a prime (10414332133) 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, 11066833 + ... + 11067773.

It is an arithmetic number, because the mean of its divisors is an integer number (318569328).

Almost surely, 2^10414332123 is an apocalyptic number.

10414332123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10414332123 is a deficient number, since it is larger than the sum of its proper divisors (4876995621).

10414332123 is a wasteful number, since it uses less digits than its factorization.

10414332123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10414332123 its reverse (32123341401), we get a palindrome (42537673524).

The spelling of 10414332123 in words is "ten billion, four hundred fourteen million, three hundred thirty-two thousand, one hundred twenty-three".