4097518272 has 112 divisors (see below), whose sum is σ = 12088550880. Its totient is φ = 1361009664.

The previous prime is 4097518261. The next prime is 4097518273. The reversal of 4097518272 is 2728157904.

It is a happy number.

4097518272 is a `hidden beast` number, since 40 + 97 + 518 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4097518273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502258 + ... + 510350.

It is an arithmetic number, because the mean of its divisors is an integer number (107933490).

Almost surely, 2^4097518272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044275440).

4097518272 is an abundant number, since it is smaller than the sum of its proper divisors (7991032608).

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

4097518272 is a wasteful number, since it uses less digits than its factorization.

4097518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4097518272 is about 64011.8604010226. The cubic root of 4097518272 is about 1600.1976672454.

The spelling of 4097518272 in words is "four billion, ninety-seven million, five hundred eighteen thousand, two hundred seventy-two".