4128983360100 has 81 divisors (see below), whose sum is σ = 12942260031883. Its totient is φ = 1101045973440.

The previous prime is 4128983360081. The next prime is 4128983360171. The reversal of 4128983360100 is 10633898214.

The square root of 4128983360100 is 2031990.

It is a perfect power (a square), and thus also a powerful number.

4128983360100 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 9 + 8 + 33 + 601 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24383844 + 4128958976256 = 4938^2 + 2031984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60925834 + ... + 60993566.

Almost surely, 2^{4128983360100} is an apocalyptic number.

4128983360100 is the 2031990-th square number.

It is an amenable number.

4128983360100 is an abundant number, since it is smaller than the sum of its proper divisors (8813276671783).

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

4128983360100 is an frugal number, since it uses more digits than its factorization.

4128983360100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135486 (or 67743 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4128983360100 in words is "four trillion, one hundred twenty-eight billion, nine hundred eighty-three million, three hundred sixty thousand, one hundred".