4055480174928 has 480 divisors, whose sum is σ = 13359517436160. Its totient is φ = 1037355171840.

The previous prime is 4055480174923. The next prime is 4055480174957. The reversal of 4055480174928 is 8294710845504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055480174923) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 402763878 + ... + 402773946.

It is an arithmetic number, because the mean of its divisors is an integer number (27832327992).

Almost surely, 2^{4055480174928} is an apocalyptic number.

4055480174928 is a gapful number since it is divisible by the number (48) 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 4055480174928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679758718080).

4055480174928 is an abundant number, since it is smaller than the sum of its proper divisors (9304037261232).

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

4055480174928 is a wasteful number, since it uses less digits than its factorization.

4055480174928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10308 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 4055480174928 in words is "four trillion, fifty-five billion, four hundred eighty million, one hundred seventy-four thousand, nine hundred twenty-eight".