12608000425440 has 1920 divisors, whose sum is σ = 56431178496000. Its totient is φ = 2585730760704.

The previous prime is 12608000425403. The next prime is 12608000425441. The reversal of 12608000425440 is 4452400080621.

12608000425440 is a `hidden beast` number, since 1 + 2 + 608 + 0 + 0 + 0 + 4 + 2 + 5 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12608000425395 and 12608000425404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12608000425441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2649293781 + ... + 2649298539.

It is an arithmetic number, because the mean of its divisors is an integer number (29391238800).

Almost surely, 2^{12608000425440} is an apocalyptic number.

12608000425440 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 12608000425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28215589248000).

12608000425440 is an abundant number, since it is smaller than the sum of its proper divisors (43823178070560).

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

12608000425440 is a wasteful number, since it uses less digits than its factorization.

12608000425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 4877 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 12608000425440 in words is "twelve trillion, six hundred eight billion, four hundred twenty-five thousand, four hundred forty".