4097468544 has 192 divisors, whose sum is σ = 11919360960. Its totient is φ = 1246482432.

The previous prime is 4097468533. The next prime is 4097468603. The reversal of 4097468544 is 4458647904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6683982 + ... + 6684594.

It is an arithmetic number, because the mean of its divisors is an integer number (62080005).

Almost surely, 2^4097468544 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 4097468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959680480).

4097468544 is an abundant number, since it is smaller than the sum of its proper divisors (7821892416).

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

4097468544 is a wasteful number, since it uses less digits than its factorization.

4097468544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The square root of 4097468544 is about 64011.4719718270. The cubic root of 4097468544 is about 1600.1911938188.

The spelling of 4097468544 in words is "four billion, ninety-seven million, four hundred sixty-eight thousand, five hundred forty-four".