4004400077 has 2 divisors, whose sum is σ = 4004400078. Its totient is φ = 4004400076.

The previous prime is 4004400053. The next prime is 4004400079. The reversal of 4004400077 is 7700044004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3006219241 + 998180836 = 54829^2 + 31594^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004400077 - 2⁸ = 4004399821 is a prime.

Together with 4004400079, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004400079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002200038 + 2002200039.

It is an arithmetic number, because the mean of its divisors is an integer number (2002200039).

Almost surely, 2^4004400077 is an apocalyptic number.

It is an amenable number.

4004400077 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004400077 is an equidigital number, since it uses as much as digits as its factorization.

4004400077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 4004400077 is about 63280.3293054011. The cubic root of 4004400077 is about 1587.9828959120.

The spelling of 4004400077 in words is "four billion, four million, four hundred thousand, seventy-seven".