4820379585120 has 144 divisors (see below), whose sum is σ = 17944958605392. Its totient is φ = 1168576865280.

The previous prime is 4820379585079. The next prime is 4820379585127. The reversal of 4820379585120 is 215859730284.

4820379585120 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 3 + 79 + 58 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820379585127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152142607 + ... + 152174286.

It is an arithmetic number, because the mean of its divisors is an integer number (124617768093).

Almost surely, 2^{4820379585120} is an apocalyptic number.

4820379585120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4820379585120 is an abundant number, since it is smaller than the sum of its proper divisors (13124579020272).

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

4820379585120 is a wasteful number, since it uses less digits than its factorization.

4820379585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304316925 (or 304316914 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4820379585120 in words is "four trillion, eight hundred twenty billion, three hundred seventy-nine million, five hundred eighty-five thousand, one hundred twenty".