4166803680100 has 36 divisors (see below), whose sum is σ = 9042744578868. Its totient is φ = 1666577584000.

The previous prime is 4166803680089. The next prime is 4166803680107. The reversal of 4166803680100 is 10863086614.

It is a happy number.

4166803680100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1334967646464 + 2831836033636 = 1155408^2 + 1682806^2 .

It is not an unprimeable number, because it can be changed into a prime (4166803680107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 630691 + ... + 2954890.

It is an arithmetic number, because the mean of its divisors is an integer number (251187349413).

Almost surely, 2^{4166803680100} is an apocalyptic number.

It is an amenable number.

4166803680100 is an abundant number, since it is smaller than the sum of its proper divisors (4875940898768).

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

4166803680100 is a wasteful number, since it uses less digits than its factorization.

4166803680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597216 (or 3597209 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 4166803680100 in words is "four trillion, one hundred sixty-six billion, eight hundred three million, six hundred eighty thousand, one hundred".