12930049440 has 864 divisors, whose sum is σ = 58161789504. Its totient is φ = 2682408960.

The previous prime is 12930049411. The next prime is 12930049459. The reversal of 12930049440 is 4494003921.

12930049440 is a `hidden beast` number, since 129 + 3 + 0 + 0 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 12930049395 and 12930049404.

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 143 ways as a sum of consecutive naturals, for example, 20956012 + ... + 20956628.

It is an arithmetic number, because the mean of its divisors is an integer number (67316886).

Almost surely, 2^12930049440 is an apocalyptic number.

12930049440 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 12930049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29080894752).

12930049440 is an abundant number, since it is smaller than the sum of its proper divisors (45231740064).

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

12930049440 is a wasteful number, since it uses less digits than its factorization.

12930049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12930049440 in words is "twelve billion, nine hundred thirty million, forty-nine thousand, four hundred forty".