4131984961 has 8 divisors (see below), whose sum is σ = 4558362984. Its totient is φ = 3721111680.

The previous prime is 4131984959. The next prime is 4131984973. The reversal of 4131984961 is 1694891314.

4131984961 is digitally balanced in base 3, 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 132687361 + 3999297600 = 11519^2 + 63240^2 .

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

It is not a de Polignac number, because 4131984961 - 2¹ = 4131984959 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4131981961) 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, 3875626 + ... + 3876691.

It is an arithmetic number, because the mean of its divisors is an integer number (569795373).

Almost surely, 2^4131984961 is an apocalyptic number.

4131984961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4131984961 is a deficient number, since it is larger than the sum of its proper divisors (426378023).

4131984961 is a wasteful number, since it uses less digits than its factorization.

4131984961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752371.

The product of its digits is 186624, while the sum is 46.

The square root of 4131984961 is about 64280.5177406032. The cubic root of 4131984961 is about 1604.6718869397.

The spelling of 4131984961 in words is "four billion, one hundred thirty-one million, nine hundred eighty-four thousand, nine hundred sixty-one".