4004227021824 has 440 divisors, whose sum is σ = 12405670896960. Its totient is φ = 1284973756416.

The previous prime is 4004227021819. The next prime is 4004227021849. The reversal of 4004227021824 is 4281207224004.

4004227021824 is a `hidden beast` number, since 400 + 4 + 2 + 2 + 70 + 2 + 182 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 897203017 + ... + 897207479.

It is an arithmetic number, because the mean of its divisors is an integer number (28194706584).

Almost surely, 2^{4004227021824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004227021824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202835448480).

4004227021824 is an abundant number, since it is smaller than the sum of its proper divisors (8401443875136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004227021824 is a wasteful number, since it uses less digits than its factorization.

4004227021824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 4004227021824 in words is "four trillion, four billion, two hundred twenty-seven million, twenty-one thousand, eight hundred twenty-four".