12930445440 has 768 divisors, whose sum is σ = 53617075200. Its totient is φ = 2834472960.

The previous prime is 12930445403. The next prime is 12930445471. The reversal of 12930445440 is 4454403921.

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 = 12930445395 and 12930445404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27688087 + ... + 27688553.

It is an arithmetic number, because the mean of its divisors is an integer number (69813900).

Almost surely, 2^12930445440 is an apocalyptic number.

12930445440 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 12930445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26808537600).

12930445440 is an abundant number, since it is smaller than the sum of its proper divisors (40686629760).

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

12930445440 is a wasteful number, since it uses less digits than its factorization.

12930445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12930445440 in words is "twelve billion, nine hundred thirty million, four hundred forty-five thousand, four hundred forty".