4001388118361 has 2 divisors, whose sum is σ = 4001388118362. Its totient is φ = 4001388118360.

The previous prime is 4001388118279. The next prime is 4001388118379. The reversal of 4001388118361 is 1638118831004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2587774126336 + 1413613992025 = 1608656^2 + 1188955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4001388118361 is a prime.

It is a super-2 number, since 2×4001388118361² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4001388168361) 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, 2000694059180 + 2000694059181.

It is an arithmetic number, because the mean of its divisors is an integer number (2000694059181).

Almost surely, 2^{4001388118361} is an apocalyptic number.

It is an amenable number.

4001388118361 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001388118361 is an equidigital number, since it uses as much as digits as its factorization.

4001388118361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 44.

The spelling of 4001388118361 in words is "four trillion, one billion, three hundred eighty-eight million, one hundred eighteen thousand, three hundred sixty-one".