12608471040 has 432 divisors, whose sum is σ = 45185064624. Its totient is φ = 2998927360.

The previous prime is 12608471033. The next prime is 12608471053. The reversal of 12608471040 is 4017480621.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 12608470992 and 12608471010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237895654 + ... + 237895706.

It is an arithmetic number, because the mean of its divisors is an integer number (104595057).

Almost surely, 2^12608471040 is an apocalyptic number.

12608471040 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 12608471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592532312).

12608471040 is an abundant number, since it is smaller than the sum of its proper divisors (32576593584).

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

12608471040 is an frugal number, since it uses more digits than its factorization.

12608471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 12608471040 in words is "twelve billion, six hundred eight million, four hundred seventy-one thousand, forty".