12408928440 has 128 divisors (see below), whose sum is σ = 38030238720. Its totient is φ = 3238323200.

The previous prime is 12408928379. The next prime is 12408928471. The reversal of 12408928440 is 4482980421.

It is a junction number, because it is equal to n+sod(n) for n = 12408928392 and 12408928401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1161925 + ... + 1172555.

It is an arithmetic number, because the mean of its divisors is an integer number (297111240).

Almost surely, 2^12408928440 is an apocalyptic number.

12408928440 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 12408928440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015119360).

12408928440 is an abundant number, since it is smaller than the sum of its proper divisors (25621310280).

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

12408928440 is a wasteful number, since it uses less digits than its factorization.

12408928440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10853 (or 10849 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 12408928440 in words is "twelve billion, four hundred eight million, nine hundred twenty-eight thousand, four hundred forty".