12408439680 has 768 divisors, whose sum is σ = 54474854400. Its totient is φ = 2613731328.

The previous prime is 12408439661. The next prime is 12408439709. The reversal of 12408439680 is 8693480421.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20441937 + ... + 20442543.

It is an arithmetic number, because the mean of its divisors is an integer number (70930800).

Almost surely, 2^12408439680 is an apocalyptic number.

12408439680 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 12408439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27237427200).

12408439680 is an abundant number, since it is smaller than the sum of its proper divisors (42066414720).

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

12408439680 is a wasteful number, since it uses less digits than its factorization.

12408439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12408439680 in words is "twelve billion, four hundred eight million, four hundred thirty-nine thousand, six hundred eighty".