4120224961 has 8 divisors (see below), whose sum is σ = 4159856360. Its totient is φ = 4080627072.

The previous prime is 4120224959. The next prime is 4120224971. The reversal of 4120224961 is 1694220214.

4120224961 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 3568867600 + 551357361 = 59740^2 + 23481^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4120224961 - 2¹ = 4120224959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4120224971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288751 + ... + 302683.

It is an arithmetic number, because the mean of its divisors is an integer number (519982045).

Almost surely, 2^4120224961 is an apocalyptic number.

It is an amenable number.

4120224961 is a deficient number, since it is larger than the sum of its proper divisors (39631399).

4120224961 is a wasteful number, since it uses less digits than its factorization.

4120224961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16755.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4120224961 is about 64188.9785009857. The cubic root of 4120224961 is about 1603.1480936759.

The spelling of 4120224961 in words is "four billion, one hundred twenty million, two hundred twenty-four thousand, nine hundred sixty-one".