12329389440 has 384 divisors, whose sum is σ = 45482860800. Its totient is φ = 3070771200.

The previous prime is 12329389403. The next prime is 12329389447. The reversal of 12329389440 is 4498392321.

12329389440 is a `hidden beast` number, since 12 + 32 + 93 + 89 + 440 = 666.

12329389440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329389447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5177050 + ... + 5179430.

It is an arithmetic number, because the mean of its divisors is an integer number (118444950).

Almost surely, 2^12329389440 is an apocalyptic number.

12329389440 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 12329389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741430400).

12329389440 is an abundant number, since it is smaller than the sum of its proper divisors (33153471360).

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

12329389440 is a wasteful number, since it uses less digits than its factorization.

12329389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12329389440 in words is "twelve billion, three hundred twenty-nine million, three hundred eighty-nine thousand, four hundred forty".