4008408088457 has 2 divisors, whose sum is σ = 4008408088458. Its totient is φ = 4008408088456.

The previous prime is 4008408088357. The next prime is 4008408088493. The reversal of 4008408088457 is 7548808048004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3855347958016 + 153060130441 = 1963504^2 + 391229^2 .

It is a cyclic number.

It is not a de Polignac number, because 4008408088457 - 2²⁰ = 4008407039881 is a prime.

It is not a weakly prime, because it can be changed into another prime (4008408088357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2004204044228 + 2004204044229.

It is an arithmetic number, because the mean of its divisors is an integer number (2004204044229).

Almost surely, 2^{4008408088457} is an apocalyptic number.

It is an amenable number.

4008408088457 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008408088457 is an equidigital number, since it uses as much as digits as its factorization.

4008408088457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9175040, while the sum is 56.

The spelling of 4008408088457 in words is "four trillion, eight billion, four hundred eight million, eighty-eight thousand, four hundred fifty-seven".