4022034114340 has 288 divisors, whose sum is σ = 9921436632576. Its totient is φ = 1357857423360.

The previous prime is 4022034114317. The next prime is 4022034114379. The reversal of 4022034114340 is 434114302204.

4022034114340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4022034114299 and 4022034114308.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2263383532 + ... + 2263385308.

It is an arithmetic number, because the mean of its divisors is an integer number (34449432752).

Almost surely, 2^{4022034114340} 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 4022034114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960718316288).

4022034114340 is an abundant number, since it is smaller than the sum of its proper divisors (5899402518236).

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

4022034114340 is a wasteful number, since it uses less digits than its factorization.

4022034114340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4022034114340 its reverse (434114302204), we get a palindrome (4456148416544).

The spelling of 4022034114340 in words is "four trillion, twenty-two billion, thirty-four million, one hundred fourteen thousand, three hundred forty".