5056323441408 has 432 divisors, whose sum is σ = 14970588272640. Its totient is φ = 1640782872576.

The previous prime is 5056323441383. The next prime is 5056323441413. The reversal of 5056323441408 is 8041443236505.

5056323441408 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 3 + 234 + 4 + 1 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8330021841 + ... + 8330022447.

It is an arithmetic number, because the mean of its divisors is an integer number (34654139520).

Almost surely, 2^{5056323441408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056323441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7485294136320).

5056323441408 is an abundant number, since it is smaller than the sum of its proper divisors (9914264831232).

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

5056323441408 is a wasteful number, since it uses less digits than its factorization.

5056323441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5056323441408 in words is "five trillion, fifty-six billion, three hundred twenty-three million, four hundred forty-one thousand, four hundred eight".