478056191820480 has 2688 divisors, whose sum is σ = 2170370073231360. Its totient is φ = 97433314836480.

The previous prime is 478056191820457. The next prime is 478056191820491. The reversal of 478056191820480 is 84028191650874.

478056191820480 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 5 + 61 + 91 + 8 + 2 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 144558870987 + ... + 144558874293.

It is an arithmetic number, because the mean of its divisors is an integer number (807429342720).

Almost surely, 2^{478056191820480} is an apocalyptic number.

478056191820480 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 478056191820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085185036615680).

478056191820480 is an abundant number, since it is smaller than the sum of its proper divisors (1692313881410880).

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

478056191820480 is a wasteful number, since it uses less digits than its factorization.

478056191820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 478056191820480 in words is "four hundred seventy-eight trillion, fifty-six billion, one hundred ninety-one million, eight hundred twenty thousand, four hundred eighty".