38435404420121 has 2 divisors, whose sum is σ = 38435404420122. Its totient is φ = 38435404420120.

The previous prime is 38435404420051. The next prime is 38435404420181. The reversal of 38435404420121 is 12102440453483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20133572832025 + 18301831588096 = 4487045^2 + 4278064^2 .

It is a cyclic number.

It is not a de Polignac number, because 38435404420121 - 2²⁶ = 38435337311257 is a prime.

It is not a weakly prime, because it can be changed into another prime (38435404420181) 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, 19217702210060 + 19217702210061.

It is an arithmetic number, because the mean of its divisors is an integer number (19217702210061).

Almost surely, 2^{38435404420121} is an apocalyptic number.

It is an amenable number.

38435404420121 is a deficient number, since it is larger than the sum of its proper divisors (1).

38435404420121 is an equidigital number, since it uses as much as digits as its factorization.

38435404420121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 38435404420121 in words is "thirty-eight trillion, four hundred thirty-five billion, four hundred four million, four hundred twenty thousand, one hundred twenty-one".