4082141425761 has 27 divisors (see below), whose sum is σ = 6859179675153. Its totient is φ = 2332627998120.

The previous prime is 4082141425741. The next prime is 4082141425771. The reversal of 4082141425761 is 1675241412804.

The square root of 4082141425761 is 2020431.

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

4082141425761 is a `hidden beast` number, since 4 + 0 + 8 + 214 + 1 + 425 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 4082141425761 - 2⁵ = 4082141425729 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4082141425741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42380946 + ... + 42477156.

Almost surely, 2^{4082141425761} is an apocalyptic number.

4082141425761 is the 2020431-st square number.

4082141425761 is the 1010216-th centered octagonal number.

It is an amenable number.

4082141425761 is a deficient number, since it is larger than the sum of its proper divisors (2777038249392).

4082141425761 is an frugal number, since it uses more digits than its factorization.

4082141425761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192442 (or 96221 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4082141425761 in words is "four trillion, eighty-two billion, one hundred forty-one million, four hundred twenty-five thousand, seven hundred sixty-one".