4106006180928 has 168 divisors, whose sum is σ = 12567699406080. Its totient is φ = 1278844922880.

The previous prime is 4106006180909. The next prime is 4106006180977. The reversal of 4106006180928 is 8290816006014.

4106006180928 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 0 + 0 + 618 + 0 + 9 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3446850 + ... + 4482497.

It is an arithmetic number, because the mean of its divisors is an integer number (74807734560).

Almost surely, 2^{4106006180928} is an apocalyptic number.

4106006180928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4106006180928 is an abundant number, since it is smaller than the sum of its proper divisors (8461693225152).

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

4106006180928 is a wasteful number, since it uses less digits than its factorization.

4106006180928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929425 (or 7929412 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4106006180928 in words is "four trillion, one hundred six billion, six million, one hundred eighty thousand, nine hundred twenty-eight".