4002224120334 has 48 divisors (see below), whose sum is σ = 9523291143600. Its totient is φ = 1204655614080.

The previous prime is 4002224120329. The next prime is 4002224120347. The reversal of 4002224120334 is 4330214222004.

4002224120334 is a `hidden beast` number, since 400 + 2 + 2 + 24 + 1 + 203 + 34 = 666.

4002224120334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4002224120334² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002224120298 and 4002224120307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67800207 + ... + 67859210.

It is an arithmetic number, because the mean of its divisors is an integer number (198401898825).

Almost surely, 2^{4002224120334} is an apocalyptic number.

4002224120334 is an abundant number, since it is smaller than the sum of its proper divisors (5521067023266).

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

4002224120334 is a wasteful number, since it uses less digits than its factorization.

4002224120334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135659585 (or 135659582 counting only the distinct ones).

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

Adding to 4002224120334 its reverse (4330214222004), we get a palindrome (8332438342338).

The spelling of 4002224120334 in words is "four trillion, two billion, two hundred twenty-four million, one hundred twenty thousand, three hundred thirty-four".