4004008003949 has 2 divisors, whose sum is σ = 4004008003950. Its totient is φ = 4004008003948.

The previous prime is 4004008003939. The next prime is 4004008004023. The reversal of 4004008003949 is 9493008004004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3510965295049 + 493042708900 = 1873757^2 + 702170^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004008003949 - 2²⁴ = 4003991226733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004008003939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002004001974 + 2002004001975.

It is an arithmetic number, because the mean of its divisors is an integer number (2002004001975).

Almost surely, 2^{4004008003949} is an apocalyptic number.

It is an amenable number.

4004008003949 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004008003949 is an equidigital number, since it uses as much as digits as its factorization.

4004008003949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 4004008003949 in words is "four trillion, four billion, eight million, three thousand, nine hundred forty-nine".