If I unlock an encrypted wallet for 359711509437336256 or less seconds, I can sign transactions with it:

    $ bitcoin-cli walletpassphrase "$x" 359711509437336256
    $ echo $?
    0
    $ bitcoin-cli signrawtransaction $tx | grep complete
      "complete": true

But if I unlock it for 359711509437336257 or more seconds, it appears to have unlocked but I can't sign any transactions:

    $ bitcoin-cli walletpassphrase "$x" 359711509437336257
    $ echo $?
    0
    $ bitcoin-cli signrawtransaction $tx | grep complete
    error code: -13
    error message:
    Error: Please enter the wallet passphrase with walletpassphrase first.

I don't know the significance of that number. It's nowhere near a power of 2.

I was trying to unlock the wallet effectively "forever", so put a big number. If I use too big a number (2^63 or more) I get an error message `JSON integer out of range` but for numbers between 359711509437336257 and 2^63-1 inclusive I get no error, but no actual unlocking.
LOCK2(cs_main, pwallet->cs_wallet);
    std::string strAccount = AccountFromValue(request.params[0]);
    
    UniValue ret(UniValue::VARR);
    for (const std::pair<CTxDestination, CAddressBookData>& item : pwallet->mapAddressBook) {
        const CTxDestination& dest = item.first;
        const std::string& strName = item.second.name;
        if (strName == strAccount) {
            ret.push_back(EncodeDestination(dest));
        }
    }
    return ret;
}
static void SendMoney(CWallet * const pwallet, const CTxDestination &address, CAmount nValue, bool fSubtractFeeFromAmount, CWalletTx& wtxNew, const CCoinControl& coin_control)
{
    CAmount curBalance = pwallet->GetBalance();
    
    if (nValue <= 0)
        throw JSONRPCError(RPC_INVALID_PARAMETER, "Invalid amount");
    if (nValue > curBalance)
        throw JSONRPCError(RPC_WALLET_INSUFFICIENT_FUNDS, "Insufficient funds");
    if (pwallet->GetBroadcastTransactions() && !g_connman) {
        throw JSONRPCError(RPC_CLIENT_P2P_DISABLED, "Error: Peer-to-peer functionality missing or disabled");
    }
    
    CScript scriptPubKey = GetScriptForDestination(address);
    
    CReserveKey reservekey(pwallet);
    CAmount nFeeRequired;
    std::string strError;