400242721667 has 2 divisors, whose sum is σ = 400242721668. Its totient is φ = 400242721666.

The previous prime is 400242721651. The next prime is 400242721849. The reversal of 400242721667 is 766127242004.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 400242721667 - 2⁴ = 400242721651 is a prime.

It is a super-3 number, since 3×400242721667³ (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (400242721607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200121360833 + 200121360834.

It is an arithmetic number, because the mean of its divisors is an integer number (200121360834).

Almost surely, 2^400242721667 is an apocalyptic number.

400242721667 is a deficient number, since it is larger than the sum of its proper divisors (1).

400242721667 is an equidigital number, since it uses as much as digits as its factorization.

400242721667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 400242721667 in words is "four hundred billion, two hundred forty-two million, seven hundred twenty-one thousand, six hundred sixty-seven".