12613777440 has 192 divisors, whose sum is σ = 43433470080. Its totient is φ = 3051683840.

The previous prime is 12613777433. The next prime is 12613777511. The reversal of 12613777440 is 4477731621.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12613777392 and 12613777401.

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 31 ways as a sum of consecutive naturals, for example, 2938816 + ... + 2943104.

It is an arithmetic number, because the mean of its divisors is an integer number (226215990).

Almost surely, 2^12613777440 is an apocalyptic number.

12613777440 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 12613777440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21716735040).

12613777440 is an abundant number, since it is smaller than the sum of its proper divisors (30819692640).

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

12613777440 is a wasteful number, since it uses less digits than its factorization.

12613777440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4875 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 12613777440 in words is "twelve billion, six hundred thirteen million, seven hundred seventy-seven thousand, four hundred forty".