4098688441 has 9 divisors (see below), whose sum is σ = 4160347821. Its totient is φ = 4037932512.

The previous prime is 4098688421. The next prime is 4098688459. The reversal of 4098688441 is 1448868904.

The square root of 4098688441 is 64021.

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

4098688441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 760160041 + 3338528400 = 27571^2 + 57780^2 .

It is not a de Polignac number, because 4098688441 - 2⁵ = 4098688409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4098688421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4673095 + ... + 4673971.

It is an arithmetic number, because the mean of its divisors is an integer number (462260869).

Almost surely, 2^4098688441 is an apocalyptic number.

4098688441 is the 64021-st square number.

4098688441 is the 32011-st centered octagonal number.

It is an amenable number.

4098688441 is a deficient number, since it is larger than the sum of its proper divisors (61659380).

4098688441 is an frugal number, since it uses more digits than its factorization.

4098688441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The cubic root of 4098688441 is about 1600.3499808622.

The spelling of 4098688441 in words is "four billion, ninety-eight million, six hundred eighty-eight thousand, four hundred forty-one".