4182930058272 has 192 divisors, whose sum is σ = 12666024483840. Its totient is φ = 1184006697984.

The previous prime is 4182930058259. The next prime is 4182930058289. The reversal of 4182930058272 is 2728500392814.

4182930058272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32836879 + ... + 32964017.

It is an arithmetic number, because the mean of its divisors is an integer number (65968877520).

Almost surely, 2^{4182930058272} is an apocalyptic number.

4182930058272 is a gapful number since it is divisible by the number (42) 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 4182930058272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6333012241920).

4182930058272 is an abundant number, since it is smaller than the sum of its proper divisors (8483094425568).

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

4182930058272 is a wasteful number, since it uses less digits than its factorization.

4182930058272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127615 (or 127607 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 4182930058272 in words is "four trillion, one hundred eighty-two billion, nine hundred thirty million, fifty-eight thousand, two hundred seventy-two".