4104042232320 has 640 divisors, whose sum is σ = 15509514113280. Its totient is φ = 1025090519040.

The previous prime is 4104042232261. The next prime is 4104042232327. The reversal of 4104042232320 is 232322404014.

4104042232320 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 0 + 422 + 3 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4104042232320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4104042232327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 247925164 + ... + 247941716.

It is an arithmetic number, because the mean of its divisors is an integer number (24233615802).

Almost surely, 2^{4104042232320} is an apocalyptic number.

4104042232320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104042232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7754757056640).

4104042232320 is an abundant number, since it is smaller than the sum of its proper divisors (11405471880960).

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

4104042232320 is a wasteful number, since it uses less digits than its factorization.

4104042232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16813 (or 16791 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4104042232320 its reverse (232322404014), we get a palindrome (4336364636334).

The spelling of 4104042232320 in words is "four trillion, one hundred four billion, forty-two million, two hundred thirty-two thousand, three hundred twenty".