12430414032 has 160 divisors (see below), whose sum is σ = 34731134208. Its totient is φ = 3820658688.

The previous prime is 12430413959. The next prime is 12430414033. The reversal of 12430414032 is 23041403421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12430413993 and 12430414011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430414033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4614478 + ... + 4617170.

Almost surely, 2^12430414032 is an apocalyptic number.

12430414032 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 12430414032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17365567104).

12430414032 is an abundant number, since it is smaller than the sum of its proper divisors (22300720176).

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

12430414032 is a wasteful number, since it uses less digits than its factorization.

12430414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12430414032 its reverse (23041403421), we get a palindrome (35471817453).

The spelling of 12430414032 in words is "twelve billion, four hundred thirty million, four hundred fourteen thousand, thirty-two".