400443416346473 has 2 divisors, whose sum is σ = 400443416346474. Its totient is φ = 400443416346472.

The previous prime is 400443416346371. The next prime is 400443416346503. The reversal of 400443416346473 is 374643614344004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 388059583795984 + 12383832550489 = 19699228^2 + 3519067^2 .

It is a cyclic number.

It is not a de Polignac number, because 400443416346473 - 2⁸ = 400443416346217 is a prime.

It is not a weakly prime, because it can be changed into another prime (400443416345473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200221708173236 + 200221708173237.

It is an arithmetic number, because the mean of its divisors is an integer number (200221708173237).

Almost surely, 2^{400443416346473} is an apocalyptic number.

It is an amenable number.

400443416346473 is a deficient number, since it is larger than the sum of its proper divisors (1).

400443416346473 is an equidigital number, since it uses as much as digits as its factorization.

400443416346473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27869184, while the sum is 53.

The spelling of 400443416346473 in words is "four hundred trillion, four hundred forty-three billion, four hundred sixteen million, three hundred forty-six thousand, four hundred seventy-three".