480128061504 has 448 divisors, whose sum is σ = 1617441308672. Its totient is φ = 122276044800.

The previous prime is 480128061433. The next prime is 480128061547. The reversal of 480128061504 is 405160821084.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410014839 + ... + 410016009.

It is an arithmetic number, because the mean of its divisors is an integer number (3610360064).

Almost surely, 2^480128061504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480128061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808720654336).

480128061504 is an abundant number, since it is smaller than the sum of its proper divisors (1137313247168).

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

480128061504 is a wasteful number, since it uses less digits than its factorization.

480128061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

Adding to 480128061504 its reverse (405160821084), we get a palindrome (885288882588).

The spelling of 480128061504 in words is "four hundred eighty billion, one hundred twenty-eight million, sixty-one thousand, five hundred four".