400414310969 has 2 divisors, whose sum is σ = 400414310970. Its totient is φ = 400414310968.

The previous prime is 400414310963. The next prime is 400414310971. The reversal of 400414310969 is 969013414004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224853310969 + 175561000000 = 474187^2 + 419000^2 .

It is a cyclic number.

It is not a de Polignac number, because 400414310969 - 2³² = 396119343673 is a prime.

It is a super-2 number, since 2×400414310969² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 400414310971, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (400414310963) 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, 200207155484 + 200207155485.

It is an arithmetic number, because the mean of its divisors is an integer number (200207155485).

Almost surely, 2^400414310969 is an apocalyptic number.

It is an amenable number.

400414310969 is a deficient number, since it is larger than the sum of its proper divisors (1).

400414310969 is an equidigital number, since it uses as much as digits as its factorization.

400414310969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 400414310969 in words is "four hundred billion, four hundred fourteen million, three hundred ten thousand, nine hundred sixty-nine".