12438427680 has 288 divisors, whose sum is σ = 49639734144. Its totient is φ = 2776854528.

The previous prime is 12438427679. The next prime is 12438427699. The reversal of 12438427680 is 8672483421.

It is a happy number.

12438427680 is a `hidden beast` number, since 124 + 384 + 2 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419092 + ... + 447788.

It is an arithmetic number, because the mean of its divisors is an integer number (172360188).

Almost surely, 2^12438427680 is an apocalyptic number.

12438427680 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 12438427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819867072).

12438427680 is an abundant number, since it is smaller than the sum of its proper divisors (37201306464).

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

12438427680 is a wasteful number, since it uses less digits than its factorization.

12438427680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28768 (or 28757 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12438427680 in words is "twelve billion, four hundred thirty-eight million, four hundred twenty-seven thousand, six hundred eighty".