4099968961 has 9 divisors (see below), whose sum is σ = 4507351779. Its totient is φ = 3726604200.

The previous prime is 4099968949. The next prime is 4099968967. The reversal of 4099968961 is 1698699904.

The square root of 4099968961 is 64031.

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., 3566358961 + 533610000 = 59719^2 + 23100^2 .

It is not a de Polignac number, because 4099968961 - 2⁷ = 4099968833 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 4099968961.

It is not an unprimeable number, because it can be changed into a prime (4099968967) 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, 701431 + ... + 707251.

Almost surely, 2^4099968961 is an apocalyptic number.

4099968961 is the 64031-st square number.

4099968961 is the 32016-th centered octagonal number.

It is an amenable number.

4099968961 is a deficient number, since it is larger than the sum of its proper divisors (407382818).

4099968961 is an frugal number, since it uses more digits than its factorization.

4099968961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 61.

The cubic root of 4099968961 is about 1600.5166249656.

The spelling of 4099968961 in words is "four billion, ninety-nine million, nine hundred sixty-eight thousand, nine hundred sixty-one".