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The observed acceleration of the present universe is shown to be wellexplained by the holographic dark energy characterized by the total comovinghorizon of the universe ($\eta$HDE). It is of interest to notice that the verylarge primordial part of the comoving horizon generated by the inflation ofearly universe makes the $\eta$HDE behave like a cosmological constant. As aconsequence, both the fine-tuning problem and the coincidence problem canreasonably be understood with the inflationary universe and holographicalprinciple. We present a systematic analysis and obtain a consistentcosmological constraint on the $\eta$HDE model based on the recent cosmologicalobservations. It is found that the $\eta$HDE model gives the best-fit result$\Omega_{m0}=0.270$ ($\Omega_{de0}=0.730$) and the minimal$\chi^2_{min}=542.915$ which is compatible with $\chi^2_{\Lambda {\rmCDM}}=542.919$ for the $\Lambda$CDM model.

Holographic Dark Energy Characterized by the Total Comoving Horizon and Insights to Cosmological Constant and Coincidence Problem