4128612100 has 36 divisors (see below), whose sum is σ = 9059771700. Its totient is φ = 1632885760.

The previous prime is 4128612083. The next prime is 4128612119. The reversal of 4128612100 is 12168214.

4128612100 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 281635524 + 3846976576 = 16782^2 + 62024^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 223045 + ... + 240844.

It is an arithmetic number, because the mean of its divisors is an integer number (251660325).

Almost surely, 2^4128612100 is an apocalyptic number.

It is an amenable number.

4128612100 is an abundant number, since it is smaller than the sum of its proper divisors (4931159600).

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

4128612100 is a wasteful number, since it uses less digits than its factorization.

4128612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463992 (or 463985 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 4128612100 is about 64254.2769004523. The cubic root of 4128612100 is about 1604.2351470026.

The spelling of 4128612100 in words is "four billion, one hundred twenty-eight million, six hundred twelve thousand, one hundred".