480216136410 has 128 divisors (see below), whose sum is σ = 1330760448000. Its totient is φ = 123094702080.

The previous prime is 480216136399. The next prime is 480216136417. The reversal of 480216136410 is 14631612084.

480216136410 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 1 + 6 + 1 + 3 + 641 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (480216136417) 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, 1054602 + ... + 1439658.

It is an arithmetic number, because the mean of its divisors is an integer number (10396566000).

Almost surely, 2^480216136410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480216136410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665380224000).

480216136410 is an abundant number, since it is smaller than the sum of its proper divisors (850544311590).

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

480216136410 is a wasteful number, since it uses less digits than its factorization.

480216136410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385253 (or 385247 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 480216136410 its reverse (14631612084), we get a palindrome (494847748494).

The spelling of 480216136410 in words is "four hundred eighty billion, two hundred sixteen million, one hundred thirty-six thousand, four hundred ten".