4122172040352 has 192 divisors, whose sum is σ = 11757835200384. Its totient is φ = 1259411701760.

The previous prime is 4122172040269. The next prime is 4122172040353. The reversal of 4122172040352 is 2530402712214.

It is a happy number.

4122172040352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4122172040353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37214683 + ... + 37325285.

It is an arithmetic number, because the mean of its divisors is an integer number (61238725002).

Almost surely, 2^{4122172040352} 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 4122172040352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878917600192).

4122172040352 is an abundant number, since it is smaller than the sum of its proper divisors (7635663160032).

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

4122172040352 is a wasteful number, since it uses less digits than its factorization.

4122172040352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111231 (or 111223 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 4122172040352 its reverse (2530402712214), we get a palindrome (6652574752566).

The spelling of 4122172040352 in words is "four trillion, one hundred twenty-two billion, one hundred seventy-two million, forty thousand, three hundred fifty-two".