4124079961 has 9 divisors (see below), whose sum is σ = 4161599743. Its totient is φ = 4086897160.

The previous prime is 4124079919. The next prime is 4124080003. The reversal of 4124079961 is 1699704214.

The square root of 4124079961 is 64219.

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

It is an interprime number because it is at equal distance from previous prime (4124079919) and next prime (4124080003).

It can be written as a sum of positive squares in only one way, i.e., 483164361 + 3640915600 = 21981^2 + 60340^2 .

It is not a de Polignac number, because 4124079961 - 2²³ = 4115691353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4124079161) 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, 9568416 + ... + 9568846.

Almost surely, 2^4124079961 is an apocalyptic number.

4124079961 is the 64219-th square number.

4124079961 is the 32110-th centered octagonal number.

It is an amenable number.

4124079961 is a deficient number, since it is larger than the sum of its proper divisors (37519782).

4124079961 is an frugal number, since it uses more digits than its factorization.

4124079961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The cubic root of 4124079961 is about 1603.6479215189.

The spelling of 4124079961 in words is "four billion, one hundred twenty-four million, seventy-nine thousand, nine hundred sixty-one".