4004413324273 has 2 divisors, whose sum is σ = 4004413324274. Its totient is φ = 4004413324272.

The previous prime is 4004413324259. The next prime is 4004413324313. The reversal of 4004413324273 is 3724233144004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3724776481024 + 279636843249 = 1929968^2 + 528807^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004413324273 - 2²¹ = 4004411227121 is a prime.

It is not a weakly prime, because it can be changed into another prime (4004413324973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002206662136 + 2002206662137.

It is an arithmetic number, because the mean of its divisors is an integer number (2002206662137).

Almost surely, 2^{4004413324273} is an apocalyptic number.

It is an amenable number.

4004413324273 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004413324273 is an equidigital number, since it uses as much as digits as its factorization.

4004413324273 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 37.

Adding to 4004413324273 its reverse (3724233144004), we get a palindrome (7728646468277).

The spelling of 4004413324273 in words is "four trillion, four billion, four hundred thirteen million, three hundred twenty-four thousand, two hundred seventy-three".