4099456729 has 9 divisors (see below), whose sum is σ = 4199830623. Its totient is φ = 4001431392.

The previous prime is 4099456723. The next prime is 4099456741. The reversal of 4099456729 is 9276549904.

The square root of 4099456729 is 64027.

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

It can be written as a sum of positive squares in only one way, i.e., 877759129 + 3221697600 = 29627^2 + 56760^2 .

It is not a de Polignac number, because 4099456729 - 2¹⁵ = 4099423961 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4099456729.

It is not an unprimeable number, because it can be changed into a prime (4099456723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2752417 + ... + 2753905.

It is an arithmetic number, because the mean of its divisors is an integer number (466647847).

Almost surely, 2^4099456729 is an apocalyptic number.

4099456729 is the 64027-th square number.

4099456729 is the 32014-th centered octagonal number.

It is an amenable number.

4099456729 is a deficient number, since it is larger than the sum of its proper divisors (100373894).

4099456729 is an frugal number, since it uses more digits than its factorization.

4099456729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The cubic root of 4099456729 is about 1600.4499683653.

The spelling of 4099456729 in words is "four billion, ninety-nine million, four hundred fifty-six thousand, seven hundred twenty-nine".