478171066000 has 80 divisors (see below), whose sum is σ = 1157028088320. Its totient is φ = 191134358400.

The previous prime is 478171065997. The next prime is 478171066019. The reversal of 478171066000 is 660171874.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2794927 + ... + 2961073.

It is an arithmetic number, because the mean of its divisors is an integer number (14462851104).

Almost surely, 2^478171066000 is an apocalyptic number.

478171066000 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 478171066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578514044160).

478171066000 is an abundant number, since it is smaller than the sum of its proper divisors (678857022320).

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

478171066000 is a wasteful number, since it uses less digits than its factorization.

478171066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167609 (or 167593 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 478171066000 in words is "four hundred seventy-eight billion, one hundred seventy-one million, sixty-six thousand".