4095725964100 has 81 divisors (see below), whose sum is σ = 8927382010071. Its totient is φ = 1631012836800.

The previous prime is 4095725964097. The next prime is 4095725964163. The reversal of 4095725964100 is 14695275904.

The square root of 4095725964100 is 2023790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 418720291396 + 3677005672704 = 647086^2 + 1917552^2 .

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, 8884437870 + ... + 8884438330.

Almost surely, 2^{4095725964100} is an apocalyptic number.

4095725964100 is the 2023790-th square number.

It is an amenable number.

4095725964100 is an abundant number, since it is smaller than the sum of its proper divisors (4831656045971).

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

4095725964100 is an frugal number, since it uses more digits than its factorization.

4095725964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 4095725964100 in words is "four trillion, ninety-five billion, seven hundred twenty-five million, nine hundred sixty-four thousand, one hundred".