4478683088880 has 640 divisors, whose sum is σ = 20712614307840. Its totient is φ = 859047690240.

The previous prime is 4478683088797. The next prime is 4478683088903. The reversal of 4478683088880 is 888803868744.

4478683088880 is a `hidden beast` number, since 44 + 78 + 68 + 308 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4478683088799 and 4478683088808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1126464 + ... + 3197856.

It is an arithmetic number, because the mean of its divisors is an integer number (32363459856).

Almost surely, 2^{4478683088880} is an apocalyptic number.

4478683088880 is a gapful number since it is divisible by the number (40) 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 4478683088880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356307153920).

4478683088880 is an abundant number, since it is smaller than the sum of its proper divisors (16233931218960).

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

4478683088880 is a wasteful number, since it uses less digits than its factorization.

4478683088880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071446 (or 2071434 counting only the distinct ones).

The product of its (nonzero) digits is 528482304, while the sum is 72.

The spelling of 4478683088880 in words is "four trillion, four hundred seventy-eight billion, six hundred eighty-three million, eighty-eight thousand, eight hundred eighty".