4004131303889 has 2 divisors, whose sum is σ = 4004131303890. Its totient is φ = 4004131303888.

The previous prime is 4004131303829. The next prime is 4004131303897. The reversal of 4004131303889 is 9883031314004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3700590910864 + 303540393025 = 1923692^2 + 550945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4004131303889 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004131303819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002065651944 + 2002065651945.

It is an arithmetic number, because the mean of its divisors is an integer number (2002065651945).

Almost surely, 2^{4004131303889} is an apocalyptic number.

It is an amenable number.

4004131303889 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004131303889 is an equidigital number, since it uses as much as digits as its factorization.

4004131303889 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 4004131303889 in words is "four trillion, four billion, one hundred thirty-one million, three hundred three thousand, eight hundred eighty-nine".