4002221234310 has 128 divisors (see below), whose sum is σ = 10370140784640. Its totient is φ = 982693824000.

The previous prime is 4002221234287. The next prime is 4002221234311. The reversal of 4002221234310 is 134321222004.

It is a happy number.

It is a super-2 number, since 2×4002221234310² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002221234311) 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, 597253960 + ... + 597260660.

It is an arithmetic number, because the mean of its divisors is an integer number (81016724880).

Almost surely, 2^{4002221234310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002221234310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185070392320).

4002221234310 is an abundant number, since it is smaller than the sum of its proper divisors (6367919550330).

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

4002221234310 is a wasteful number, since it uses less digits than its factorization.

4002221234310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10334.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4002221234310 its reverse (134321222004), we get a palindrome (4136542456314).

The spelling of 4002221234310 in words is "four trillion, two billion, two hundred twenty-one million, two hundred thirty-four thousand, three hundred ten".