478081344000 has 1280 divisors, whose sum is σ = 1911072683520. Its totient is φ = 104752742400.

The previous prime is 478081343989. The next prime is 478081344029. The reversal of 478081344000 is 443180874.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 478081344000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 806207704 + ... + 806208296.

It is an arithmetic number, because the mean of its divisors is an integer number (1493025534).

Almost surely, 2^478081344000 is an apocalyptic number.

478081344000 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 478081344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955536341760).

478081344000 is an abundant number, since it is smaller than the sum of its proper divisors (1432991339520).

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

478081344000 is a wasteful number, since it uses less digits than its factorization.

478081344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 478081344000 in words is "four hundred seventy-eight billion, eighty-one million, three hundred forty-four thousand".