38401125515041 has 2 divisors, whose sum is σ = 38401125515042. Its totient is φ = 38401125515040.

The previous prime is 38401125515023. The next prime is 38401125515083. The reversal of 38401125515041 is 14051552110483.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20930991001600 + 17470134513441 = 4575040^2 + 4179729^2 .

It is an emirp because it is prime and its reverse (14051552110483) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 38401125515041 - 2³³ = 38392535580449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38401125514985 and 38401125515003.

It is not a weakly prime, because it can be changed into another prime (38401125515341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200562757520 + 19200562757521.

It is an arithmetic number, because the mean of its divisors is an integer number (19200562757521).

Almost surely, 2^{38401125515041} is an apocalyptic number.

It is an amenable number.

38401125515041 is a deficient number, since it is larger than the sum of its proper divisors (1).

38401125515041 is an equidigital number, since it uses as much as digits as its factorization.

38401125515041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96000, while the sum is 40.

The spelling of 38401125515041 in words is "thirty-eight trillion, four hundred one billion, one hundred twenty-five million, five hundred fifteen thousand, forty-one".