4097457261 has 24 divisors (see below), whose sum is σ = 5971656704. Its totient is φ = 2707175520.

The previous prime is 4097457187. The next prime is 4097457263. The reversal of 4097457261 is 1627547904.

4097457261 is a `hidden beast` number, since 4 + 0 + 9 + 74 + 572 + 6 + 1 = 666.

It is not a de Polignac number, because 4097457261 - 2⁹ = 4097456749 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097457263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680135 + ... + 1682571.

Almost surely, 2^4097457261 is an apocalyptic number.

It is an amenable number.

4097457261 is a deficient number, since it is larger than the sum of its proper divisors (1874199443).

4097457261 is a wasteful number, since it uses less digits than its factorization.

4097457261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4097457261 is about 64011.3838391266. The cubic root of 4097457261 is about 1600.1897250279.

The spelling of 4097457261 in words is "four billion, ninety-seven million, four hundred fifty-seven thousand, two hundred sixty-one".