12607741440 has 240 divisors, whose sum is σ = 49902529248. Its totient is φ = 2881732608.

The previous prime is 12607741381. The next prime is 12607741511. The reversal of 12607741440 is 4414770621.

It is a happy number.

12607741440 is a `hidden beast` number, since 1 + 2 + 607 + 7 + 4 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 12607741395 and 12607741404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122194 + ... + 200366.

Almost surely, 2^12607741440 is an apocalyptic number.

12607741440 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 12607741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24951264624).

12607741440 is an abundant number, since it is smaller than the sum of its proper divisors (37294787808).

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

12607741440 is an equidigital number, since it uses as much as digits as its factorization.

12607741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78209 (or 78190 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12607741440 in words is "twelve billion, six hundred seven million, seven hundred forty-one thousand, four hundred forty".