4004441377 has 2 divisors, whose sum is σ = 4004441378. Its totient is φ = 4004441376.

The previous prime is 4004441297. The next prime is 4004441383. The reversal of 4004441377 is 7731444004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2998219536 + 1006221841 = 54756^2 + 31721^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004441377 - 2¹⁵ = 4004408609 is a prime.

It is a super-2 number, since 2×4004441377² = 32071101483659312258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4004448377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002220688 + 2002220689.

It is an arithmetic number, because the mean of its divisors is an integer number (2002220689).

Almost surely, 2^4004441377 is an apocalyptic number.

It is an amenable number.

4004441377 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004441377 is an equidigital number, since it uses as much as digits as its factorization.

4004441377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 4004441377 is about 63280.6556302951. The cubic root of 4004441377 is about 1587.9883551957.

The spelling of 4004441377 in words is "four billion, four million, four hundred forty-one thousand, three hundred seventy-seven".