400004121209993 has 2 divisors, whose sum is σ = 400004121209994. Its totient is φ = 400004121209992.

The previous prime is 400004121209983. The next prime is 400004121210077. The reversal of 400004121209993 is 399902121400004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327262463617609 + 72741657592384 = 18090397^2 + 8528872^2 .

It is a cyclic number.

It is not a de Polignac number, because 400004121209993 - 2³⁰ = 400003047468169 is a prime.

It is not a weakly prime, because it can be changed into another prime (400004121209983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200002060604996 + 200002060604997.

It is an arithmetic number, because the mean of its divisors is an integer number (200002060604997).

Almost surely, 2^{400004121209993} is an apocalyptic number.

It is an amenable number.

400004121209993 is a deficient number, since it is larger than the sum of its proper divisors (1).

400004121209993 is an equidigital number, since it uses as much as digits as its factorization.

400004121209993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

Adding to 400004121209993 its reverse (399902121400004), we get a palindrome (799906242609997).

The spelling of 400004121209993 in words is "four hundred trillion, four billion, one hundred twenty-one million, two hundred nine thousand, nine hundred ninety-three".