4185060958128 has 80 divisors (see below), whose sum is σ = 11186023691520. Its totient is φ = 1346698305792.

The previous prime is 4185060958097. The next prime is 4185060958129. The reversal of 4185060958128 is 8218590605814.

It is not an unprimeable number, because it can be changed into a prime (4185060958129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8478075 + ... + 8958117.

It is an arithmetic number, because the mean of its divisors is an integer number (139825296144).

Almost surely, 2^{4185060958128} is an apocalyptic number.

4185060958128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4185060958128 is an abundant number, since it is smaller than the sum of its proper divisors (7000962733392).

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

4185060958128 is a wasteful number, since it uses less digits than its factorization.

4185060958128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486346 (or 486340 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 57.

The spelling of 4185060958128 in words is "four trillion, one hundred eighty-five billion, sixty million, nine hundred fifty-eight thousand, one hundred twenty-eight".