12439280342016 has 264 divisors, whose sum is σ = 39285867838464. Its totient is φ = 3759625175040.

The previous prime is 12439280341993. The next prime is 12439280342023. The reversal of 12439280342016 is 61024308293421.

12439280342016 is a `hidden beast` number, since 1 + 2 + 439 + 2 + 8 + 0 + 3 + 4 + 201 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38666820 + ... + 38987196.

Almost surely, 2^{12439280342016} is an apocalyptic number.

12439280342016 is a gapful number since it is divisible by the number (16) 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 12439280342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642933919232).

12439280342016 is an abundant number, since it is smaller than the sum of its proper divisors (26846587496448).

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

12439280342016 is a wasteful number, since it uses less digits than its factorization.

12439280342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320797 (or 320776 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

It can be divided in two parts, 124392 and 80342016, that added together give a palindrome (80466408).

The spelling of 12439280342016 in words is "twelve trillion, four hundred thirty-nine billion, two hundred eighty million, three hundred forty-two thousand, sixteen".