4001218682877 has 40 divisors (see below), whose sum is σ = 6440931577080. Its totient is φ = 2460749414400.

The previous prime is 4001218682869. The next prime is 4001218682933. The reversal of 4001218682877 is 7782868121004.

4001218682877 is a `hidden beast` number, since 400 + 1 + 2 + 1 + 86 + 82 + 87 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1715591757636 + 2285626925241 = 1309806^2 + 1511829^2 .

It is not a de Polignac number, because 4001218682877 - 2³ = 4001218682869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001218682177) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 499149 + ... + 2872557.

It is an arithmetic number, because the mean of its divisors is an integer number (161023289427).

Almost surely, 2^{4001218682877} is an apocalyptic number.

It is an amenable number.

4001218682877 is a deficient number, since it is larger than the sum of its proper divisors (2439712894203).

4001218682877 is a wasteful number, since it uses less digits than its factorization.

4001218682877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375035 (or 2375026 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 4001218682877 in words is "four trillion, one billion, two hundred eighteen million, six hundred eighty-two thousand, eight hundred seventy-seven".