10414322324 has 48 divisors (see below), whose sum is σ = 21042233856. Its totient is φ = 4417740000.

The previous prime is 10414322323. The next prime is 10414322363. The reversal of 10414322324 is 42322341401.

It is a junction number, because it is equal to n+sod(n) for n = 10414322293 and 10414322302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414322323) 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 15 ways as a sum of consecutive naturals, for example, 1141019 + ... + 1150109.

It is an arithmetic number, because the mean of its divisors is an integer number (438379872).

Almost surely, 2^10414322324 is an apocalyptic number.

10414322324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10414322324 is an abundant number, since it is smaller than the sum of its proper divisors (10627911532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10414322324 is a wasteful number, since it uses less digits than its factorization.

10414322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10414322324 its reverse (42322341401), we get a palindrome (52736663725).

The spelling of 10414322324 in words is "ten billion, four hundred fourteen million, three hundred twenty-two thousand, three hundred twenty-four".