4116046100 has 36 divisors (see below), whose sum is σ = 8935420284. Its totient is φ = 1645754880.

The previous prime is 4116046079. The next prime is 4116046117. The reversal of 4116046100 is 16406114.

4116046100 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 161900176 + 3954145924 = 12724^2 + 62882^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296924 + ... + 310476.

It is an arithmetic number, because the mean of its divisors is an integer number (248206119).

Almost surely, 2^4116046100 is an apocalyptic number.

It is an amenable number.

4116046100 is an abundant number, since it is smaller than the sum of its proper divisors (4819374184).

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

4116046100 is a wasteful number, since it uses less digits than its factorization.

4116046100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16604 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 4116046100 is about 64156.4190085450. The cubic root of 4116046100 is about 1602.6059226959.

The spelling of 4116046100 in words is "four billion, one hundred sixteen million, forty-six thousand, one hundred".