342144021223410 has 768 divisors, whose sum is σ = 1036505084313600. Its totient is φ = 70725530308608.

The previous prime is 342144021223393. The next prime is 342144021223427. The reversal of 342144021223410 is 14322120441243.

It is an interprime number because it is at equal distance from previous prime (342144021223393) and next prime (342144021223427).

It is a super-3 number, since 3×342144021223410³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 163783637646 + ... + 163783639734.

It is an arithmetic number, because the mean of its divisors is an integer number (1349615995200).

Almost surely, 2^{342144021223410} is an apocalyptic number.

342144021223410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 342144021223410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518252542156800).

342144021223410 is an abundant number, since it is smaller than the sum of its proper divisors (694361063090190).

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

342144021223410 is a wasteful number, since it uses less digits than its factorization.

342144021223410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 342144021223410 its reverse (14322120441243), we get a palindrome (356466141664653).

The spelling of 342144021223410 in words is "three hundred forty-two trillion, one hundred forty-four billion, twenty-one million, two hundred twenty-three thousand, four hundred ten".