4002224402340 has 192 divisors, whose sum is σ = 12484994995200. Its totient is φ = 1064379875328.

The previous prime is 4002224402333. The next prime is 4002224402359. The reversal of 4002224402340 is 432044222004.

4002224402340 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 224 + 402 + 34 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 672300804 + ... + 672306756.

It is an arithmetic number, because the mean of its divisors is an integer number (65026015600).

Almost surely, 2^{4002224402340} 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 4002224402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242497497600).

4002224402340 is an abundant number, since it is smaller than the sum of its proper divisors (8482770592860).

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

4002224402340 is a wasteful number, since it uses less digits than its factorization.

4002224402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 4002224402340 its reverse (432044222004), we get a palindrome (4434268624344).

The spelling of 4002224402340 in words is "four trillion, two billion, two hundred twenty-four million, four hundred two thousand, three hundred forty".