414023213993 has 2 divisors, whose sum is σ = 414023213994. Its totient is φ = 414023213992.

The previous prime is 414023213963. The next prime is 414023214013. The reversal of 414023213993 is 399312320414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368118865984 + 45904348009 = 606728^2 + 214253^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414023213993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414023213993.

It is not a weakly prime, because it can be changed into another prime (414023213963) 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, 207011606996 + 207011606997.

It is an arithmetic number, because the mean of its divisors is an integer number (207011606997).

Almost surely, 2^414023213993 is an apocalyptic number.

It is an amenable number.

414023213993 is a deficient number, since it is larger than the sum of its proper divisors (1).

414023213993 is an equidigital number, since it uses as much as digits as its factorization.

414023213993 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 41.

The spelling of 414023213993 in words is "four hundred fourteen billion, twenty-three million, two hundred thirteen thousand, nine hundred ninety-three".