478241974128960 has 448 divisors, whose sum is σ = 1723153202749440. Its totient is φ = 124808680949760.

The previous prime is 478241974128937. The next prime is 478241974128977. The reversal of 478241974128960 is 69821479142874.

478241974128960 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 41 + 97 + 412 + 89 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6980887027 + ... + 6980955533.

It is an arithmetic number, because the mean of its divisors is an integer number (3846324113280).

Almost surely, 2^{478241974128960} is an apocalyptic number.

478241974128960 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 478241974128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861576601374720).

478241974128960 is an abundant number, since it is smaller than the sum of its proper divisors (1244911228620480).

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

478241974128960 is a wasteful number, since it uses less digits than its factorization.

478241974128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85771 (or 85755 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 478241974128960 in words is "four hundred seventy-eight trillion, two hundred forty-one billion, nine hundred seventy-four million, one hundred twenty-eight thousand, nine hundred sixty".