4004224233300 has 216 divisors, whose sum is σ = 13148170963200. Its totient is φ = 1017921864960.

The previous prime is 4004224233299. The next prime is 4004224233343. The reversal of 4004224233300 is 33324224004.

4004224233300 is a `hidden beast` number, since 4 + 0 + 0 + 422 + 4 + 233 + 3 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1090897 + ... + 3032903.

Almost surely, 2^{4004224233300} 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 4004224233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574085481600).

4004224233300 is an abundant number, since it is smaller than the sum of its proper divisors (9143946729900).

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

4004224233300 is a wasteful number, since it uses less digits than its factorization.

4004224233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942135 (or 1942125 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 4004224233300 its reverse (33324224004), we get a palindrome (4037548457304).

The spelling of 4004224233300 in words is "four trillion, four billion, two hundred twenty-four million, two hundred thirty-three thousand, three hundred".