12329418240 has 400 divisors, whose sum is σ = 45381818592. Its totient is φ = 3196993536.

The previous prime is 12329418223. The next prime is 12329418253. The reversal of 12329418240 is 4281492321.

12329418240 is a `hidden beast` number, since 1 + 232 + 9 + 418 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12329418195 and 12329418204.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 7671517 + ... + 7673123.

Almost surely, 2^12329418240 is an apocalyptic number.

12329418240 is a gapful number since it is divisible by the number (10) 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 12329418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22690909296).

12329418240 is an abundant number, since it is smaller than the sum of its proper divisors (33052400352).

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

12329418240 is an equidigital number, since it uses as much as digits as its factorization.

12329418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12329418240 in words is "twelve billion, three hundred twenty-nine million, four hundred eighteen thousand, two hundred forty".