3964499121025 has 27 divisors (see below), whose sum is σ = 5188579870851. Its totient is φ = 3004529658480.

The previous prime is 3964499121017. The next prime is 3964499121059. The reversal of 3964499121025 is 5201219944693.

The square root of 3964499121025 is 1991105.

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

It can be written as a sum of positive squares in only one way, i.e., 1427219683569 + 2537279437456 = 1194663^2 + 1592884^2 .

It is not a de Polignac number, because 3964499121025 - 2³ = 3964499121017 is a prime.

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, 189144496 + ... + 189165454.

Almost surely, 2^{3964499121025} is an apocalyptic number.

3964499121025 is the 1991105-th square number.

3964499121025 is the 995553-rd centered octagonal number.

It is an amenable number.

3964499121025 is a deficient number, since it is larger than the sum of its proper divisors (1224080749826).

3964499121025 is an frugal number, since it uses more digits than its factorization.

3964499121025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41966 (or 20983 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 3964499121025 in words is "three trillion, nine hundred sixty-four billion, four hundred ninety-nine million, one hundred twenty-one thousand, twenty-five".