4096640025 has 81 divisors (see below), whose sum is σ = 7825724413. Its totient is φ = 2048160000.

The previous prime is 4096640017. The next prime is 4096640033. The reversal of 4096640025 is 5200466904.

The square root of 4096640025 is 64005.

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

4096640025 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 640 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4096640017) and next prime (4096640033).

It can be written as a sum of positive squares in 4 ways, for example, as 95824521 + 4000815504 = 9789^2 + 63252^2 .

It is not a de Polignac number, because 4096640025 - 2³ = 4096640017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16321150 + ... + 16321400.

Almost surely, 2^4096640025 is an apocalyptic number.

4096640025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4096640025 is the 64005-th square number.

4096640025 is the 32003-rd centered octagonal number.

It is an amenable number.

4096640025 is a deficient number, since it is larger than the sum of its proper divisors (3729084388).

4096640025 is a wasteful number, since it uses less digits than its factorization.

4096640025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 4096640025 is about 1600.0833322483.

Multiplying 4096640025 by its sum of digits (36), we get a square (147479040900 = 384030²).

The spelling of 4096640025 in words is "four billion, ninety-six million, six hundred forty thousand, twenty-five".