4004000677 has 2 divisors, whose sum is σ = 4004000678. Its totient is φ = 4004000676.

The previous prime is 4004000653. The next prime is 4004000683. The reversal of 4004000677 is 7760004004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3215570436 + 788430241 = 56706^2 + 28079^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004000677 - 2²⁷ = 3869782949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004000617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002000338 + 2002000339.

It is an arithmetic number, because the mean of its divisors is an integer number (2002000339).

Almost surely, 2^4004000677 is an apocalyptic number.

It is an amenable number.

4004000677 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004000677 is an equidigital number, since it uses as much as digits as its factorization.

4004000677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 4004000677 is about 63277.1734277061. The cubic root of 4004000677 is about 1587.9300988684.

The spelling of 4004000677 in words is "four billion, four million, six hundred seventy-seven", and thus it is an aban number.