34142032144220 has 1536 divisors, whose sum is σ = 105064594145280. Its totient is φ = 8982005760000.

The previous prime is 34142032144183. The next prime is 34142032144267. The reversal of 34142032144220 is 2244123024143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 142853690861 + ... + 142853691099.

It is an arithmetic number, because the mean of its divisors is an integer number (68401428480).

Almost surely, 2^{34142032144220} 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 34142032144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52532297072640).

34142032144220 is an abundant number, since it is smaller than the sum of its proper divisors (70922562001060).

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

34142032144220 is a wasteful number, since it uses less digits than its factorization.

34142032144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 34142032144220 its reverse (2244123024143), we get a palindrome (36386155168363).

The spelling of 34142032144220 in words is "thirty-four trillion, one hundred forty-two billion, thirty-two million, one hundred forty-four thousand, two hundred twenty".