12439417760 has 384 divisors, whose sum is σ = 38968957440. Its totient is φ = 3638476800.

The previous prime is 12439417729. The next prime is 12439417799. The reversal of 12439417760 is 6771493421.

It is a happy number.

12439417760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12439417760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 63 ways as a sum of consecutive naturals, for example, 13218890 + ... + 13219830.

It is an arithmetic number, because the mean of its divisors is an integer number (101481660).

Almost surely, 2^12439417760 is an apocalyptic number.

12439417760 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 12439417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19484478720).

12439417760 is an abundant number, since it is smaller than the sum of its proper divisors (26529539680).

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

12439417760 is a wasteful number, since it uses less digits than its factorization.

12439417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The spelling of 12439417760 in words is "twelve billion, four hundred thirty-nine million, four hundred seventeen thousand, seven hundred sixty".