4127016961 has 16 divisors (see below), whose sum is σ = 4370970240. Its totient is φ = 3885822720.

The previous prime is 4127016931. The next prime is 4127016973. The reversal of 4127016961 is 1696107214.

4127016961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4127016961 - 2⁷ = 4127016833 is a prime.

It is an alternating number because its digits alternate between even and odd.

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 4127016961.

It is not an unprimeable number, because it can be changed into a prime (4127016911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2557791 + ... + 2559403.

It is an arithmetic number, because the mean of its divisors is an integer number (273185640).

Almost surely, 2^4127016961 is an apocalyptic number.

It is an amenable number.

4127016961 is a deficient number, since it is larger than the sum of its proper divisors (243953279).

4127016961 is a wasteful number, since it uses less digits than its factorization.

4127016961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 4127016961 is about 64241.8629944680. The cubic root of 4127016961 is about 1604.0285151999.

The spelling of 4127016961 in words is "four billion, one hundred twenty-seven million, sixteen thousand, nine hundred sixty-one".