import pandas as pd
import numpy as np

df = pd.DataFrame([
    [1, 0, np.nan, pd.NaT, None, ""]
]).T

def conv_num(x):
    if pd.isna(x):
        return np.nan, "缺失值"
    try:
        return float(x), "浮点数"
    except:
        return np.nan, "异常"

print(
    pd.concat([
        df,
        df.applymap(conv_num),
    ], axis=1)
)

      0           0

0     1  (1.0, 浮点数)

1     0  (0.0, 浮点数)

2   NaN  (nan, 缺失值)

3   NaT  (nan, 缺失值)

4  None  (nan, 缺失值)

5     ""    (nan, 异常)