We present a study of the infrared properties for a sample of seven spectroscopically confirmed submillimeter galaxies at $z>$4.0. By combining ground-based near-infrared, Spitzer IRAC and MIPS, Herschel SPIRE, and ground-based submillimeter/millimeter photometry, we construct their Spectral Energy Distributions (SED) and a composite model to fit the SEDs. The model includes a stellar emission component at $lambda_{rm rest} <$ 3.5$ mu$m; a hot dust component peaking at $lambda_{rest} sim$ 5$,mu$m; and cold dust component which becomes significant for $lambda_{rm rest} >$ 50$,mu$m. Six objects in the sample are detected at 250 and 350$ mu$m. The dust temperatures for the sources in this sample are in the range of 40$-$80 K, and their $L_{rm FIR}$ $sim$ 10$^{13}$ L$_{odot}$ qualifies them as Hyper$-$Luminous Infrared Galaxies (HyperLIRGs). The mean FIR-radio index for this sample is around $< q > = 2.2$ indicating no radio excess in their radio emission. Most sources in the sample have 24$ mu$m detections corresponding to a rest-frame 4.5$ mu$m luminosity of Log$_{10}$(L$_{4.5}$ / L$_{odot}$) = 11 $sim$ 11.5. Their L$_{rm 4.5}$/$L_{rm FIR}$ ratios are very similar to those of starburst dominated submillimeter galaxies at $z sim$ 2. The $L_{rm CO}-L_{rm FIR}$ relation for this sample is consistent with that determined for local ULIRGs and SMGs at $z sim$ 2. We conclude that submillimeter galaxies at $z >$ 4 are hotter and more luminous in the FIR, but otherwise very similar to those at $z sim$ 2. None of these sources show any sign of the strong QSO phase being triggered.