4001966125 has 16 divisors (see below), whose sum is σ = 4998867120. Its totient is φ = 3198744000.

The previous prime is 4001966083. The next prime is 4001966131. The reversal of 4001966125 is 5216691004.

It can be written as a sum of positive squares in 8 ways, for example, as 787756489 + 3214209636 = 28067^2 + 56694^2 .

It is not a de Polignac number, because 4001966125 - 2¹¹ = 4001964077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134071 + ... + 161179.

It is an arithmetic number, because the mean of its divisors is an integer number (312429195).

Almost surely, 2^4001966125 is an apocalyptic number.

It is an amenable number.

4001966125 is a deficient number, since it is larger than the sum of its proper divisors (996900995).

4001966125 is a wasteful number, since it uses less digits than its factorization.

4001966125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28305 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 4001966125 is about 63261.0948767092. The cubic root of 4001966125 is about 1587.6610951075.

The spelling of 4001966125 in words is "four billion, one million, nine hundred sixty-six thousand, one hundred twenty-five".