38400417791969 has 2 divisors, whose sum is σ = 38400417791970. Its totient is φ = 38400417791968.

The previous prime is 38400417791947. The next prime is 38400417792013. The reversal of 38400417791969 is 96919771400483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23923054854400 + 14477362937569 = 4891120^2 + 3804913^2 .

It is a cyclic number.

It is not a de Polignac number, because 38400417791969 - 2⁸ = 38400417791713 is a prime.

It is a super-2 number, since 2×38400417791969² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38400417791899 and 38400417791908.

It is not a weakly prime, because it can be changed into another prime (38400417791929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200208895984 + 19200208895985.

It is an arithmetic number, because the mean of its divisors is an integer number (19200208895985).

Almost surely, 2^{38400417791969} is an apocalyptic number.

It is an amenable number.

38400417791969 is a deficient number, since it is larger than the sum of its proper divisors (1).

38400417791969 is an equidigital number, since it uses as much as digits as its factorization.

38400417791969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82301184, while the sum is 68.

The spelling of 38400417791969 in words is "thirty-eight trillion, four hundred billion, four hundred seventeen million, seven hundred ninety-one thousand, nine hundred sixty-nine".