480422818725120 has 576 divisors, whose sum is σ = 1805266835850240. Its totient is φ = 120566772006912.

The previous prime is 480422818725107. The next prime is 480422818725121. The reversal of 480422818725120 is 21527818224084.

480422818725120 is a `hidden beast` number, since 4 + 8 + 0 + 42 + 2 + 8 + 1 + 87 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480422818725121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9328029289 + ... + 9328080791.

It is an arithmetic number, because the mean of its divisors is an integer number (3134143812240).

Almost surely, 2^{480422818725120} is an apocalyptic number.

480422818725120 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 480422818725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902633417925120).

480422818725120 is an abundant number, since it is smaller than the sum of its proper divisors (1324844017125120).

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

480422818725120 is a wasteful number, since it uses less digits than its factorization.

480422818725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67427 (or 67407 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 480422818725120 in words is "four hundred eighty trillion, four hundred twenty-two billion, eight hundred eighteen million, seven hundred twenty-five thousand, one hundred twenty".