4128970900 has 36 divisors (see below), whose sum is σ = 9048600540. Its totient is φ = 1635232000.

The previous prime is 4128970889. The next prime is 4128970907. The reversal of 4128970900 is 90798214.

It can be written as a sum of positive squares in 6 ways, for example, as 146603664 + 3982367236 = 12108^2 + 63106^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4128970907) 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, 194305 + ... + 214504.

It is an arithmetic number, because the mean of its divisors is an integer number (251350015).

Almost surely, 2^4128970900 is an apocalyptic number.

It is an amenable number.

4128970900 is an abundant number, since it is smaller than the sum of its proper divisors (4919629640).

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

4128970900 is a wasteful number, since it uses less digits than its factorization.

4128970900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408924 (or 408917 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 4128970900 is about 64257.0688718370. The cubic root of 4128970900 is about 1604.2816180590.

The spelling of 4128970900 in words is "four billion, one hundred twenty-eight million, nine hundred seventy thousand, nine hundred".