482416197120 has 2880 divisors, whose sum is σ = 2246475591360. Its totient is φ = 98099527680.

The previous prime is 482416197113. The next prime is 482416197143. The reversal of 482416197120 is 21791614284.

482416197120 is a `hidden beast` number, since 4 + 8 + 2 + 4 + 1 + 619 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16635041266 + ... + 16635041294.

It is an arithmetic number, because the mean of its divisors is an integer number (780026247).

Almost surely, 2^482416197120 is an apocalyptic number.

482416197120 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 482416197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123237795680).

482416197120 is an abundant number, since it is smaller than the sum of its proper divisors (1764059394240).

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

482416197120 is a wasteful number, since it uses less digits than its factorization.

482416197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 482416197120 in words is "four hundred eighty-two billion, four hundred sixteen million, one hundred ninety-seven thousand, one hundred twenty".