4004121324224 has 168 divisors, whose sum is σ = 9648411191328. Its totient is φ = 1614526341120.

The previous prime is 4004121324127. The next prime is 4004121324227. The reversal of 4004121324224 is 4224231214004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4004121324227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14318024 + ... + 14595000.

It is an arithmetic number, because the mean of its divisors is an integer number (57431018996).

Almost surely, 2^{4004121324224} 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 4004121324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824205595664).

4004121324224 is an abundant number, since it is smaller than the sum of its proper divisors (5644289867104).

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

4004121324224 is a wasteful number, since it uses less digits than its factorization.

4004121324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277103 (or 277070 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 4004121324224 its reverse (4224231214004), we get a palindrome (8228352538228).

The spelling of 4004121324224 in words is "four trillion, four billion, one hundred twenty-one million, three hundred twenty-four thousand, two hundred twenty-four".