4122130510344 has 256 divisors, whose sum is σ = 13464753408000. Its totient is φ = 1041745017600.

The previous prime is 4122130510331. The next prime is 4122130510361. The reversal of 4122130510344 is 4430150312214.

It is an unprimeable number.

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, 2735259 + ... + 3965589.

It is an arithmetic number, because the mean of its divisors is an integer number (52596693000).

Almost surely, 2^{4122130510344} is an apocalyptic number.

4122130510344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122130510344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732376704000).

4122130510344 is an abundant number, since it is smaller than the sum of its proper divisors (9342622897656).

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

4122130510344 is a wasteful number, since it uses less digits than its factorization.

4122130510344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230409 (or 1230391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4122130510344 its reverse (4430150312214), we get a palindrome (8552280822558).

The spelling of 4122130510344 in words is "four trillion, one hundred twenty-two billion, one hundred thirty million, five hundred ten thousand, three hundred forty-four".