478101808800 has 1152 divisors, whose sum is σ = 2165981368320. Its totient is φ = 98877542400.

The previous prime is 478101808781. The next prime is 478101808813. The reversal of 478101808800 is 8808101874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437421054 + ... + 437422146.

It is an arithmetic number, because the mean of its divisors is an integer number (1880192160).

Almost surely, 2^478101808800 is an apocalyptic number.

478101808800 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 478101808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082990684160).

478101808800 is an abundant number, since it is smaller than the sum of its proper divisors (1687879559520).

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

478101808800 is a wasteful number, since it uses less digits than its factorization.

478101808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 45.

The spelling of 478101808800 in words is "four hundred seventy-eight billion, one hundred one million, eight hundred eight thousand, eight hundred".