12426438648960 has 1024 divisors, whose sum is σ = 51599296512000. Its totient is φ = 2767362637824.

The previous prime is 12426438648917. The next prime is 12426438648973. The reversal of 12426438648960 is 6984683462421.

It is a happy number.

12426438648960 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 6 + 438 + 64 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1290517426 + ... + 1290527054.

It is an arithmetic number, because the mean of its divisors is an integer number (50389938000).

Almost surely, 2^{12426438648960} is an apocalyptic number.

12426438648960 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 12426438648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25799648256000).

12426438648960 is an abundant number, since it is smaller than the sum of its proper divisors (39172857863040).

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

12426438648960 is a wasteful number, since it uses less digits than its factorization.

12426438648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 12426438648960 in words is "twelve trillion, four hundred twenty-six billion, four hundred thirty-eight million, six hundred forty-eight thousand, nine hundred sixty".