4234144313322 has 192 divisors, whose sum is σ = 11942461200384. Its totient is φ = 1051301877120.

The previous prime is 4234144313233. The next prime is 4234144313353. The reversal of 4234144313322 is 2233134414324.

4234144313322 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 14 + 4 + 313 + 322 = 666.

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, 51824688 + ... + 51906324.

It is an arithmetic number, because the mean of its divisors is an integer number (62200318752).

Almost surely, 2^{4234144313322} is an apocalyptic number.

4234144313322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234144313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971230600192).

4234144313322 is an abundant number, since it is smaller than the sum of its proper divisors (7708316887062).

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

4234144313322 is a wasteful number, since it uses less digits than its factorization.

4234144313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83313 (or 83310 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 4234144313322 its reverse (2233134414324), we get a palindrome (6467278727646).

The spelling of 4234144313322 in words is "four trillion, two hundred thirty-four billion, one hundred forty-four million, three hundred thirteen thousand, three hundred twenty-two".