10414112232 has 64 divisors (see below), whose sum is σ = 26607294720. Its totient is φ = 3395203328.

The previous prime is 10414112209. The next prime is 10414112239. The reversal of 10414112232 is 23221141401.

It is a junction number, because it is equal to n+sod(n) for n = 10414112199 and 10414112208.

It is not an unprimeable number, because it can be changed into a prime (10414112239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656738 + ... + 2660654.

It is an arithmetic number, because the mean of its divisors is an integer number (415738980).

Almost surely, 2^10414112232 is an apocalyptic number.

10414112232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10414112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13303647360).

10414112232 is an abundant number, since it is smaller than the sum of its proper divisors (16193182488).

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

10414112232 is a wasteful number, since it uses less digits than its factorization.

10414112232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10414112232 its reverse (23221141401), we get a palindrome (33635253633).

The spelling of 10414112232 in words is "ten billion, four hundred fourteen million, one hundred twelve thousand, two hundred thirty-two".