34142175010944 has 2304 divisors, whose sum is σ = 141597471375360. Its totient is φ = 7750652313600.

The previous prime is 34142175010943. The next prime is 34142175010987. The reversal of 34142175010944 is 44901057124143.

34142175010944 is a `hidden beast` number, since 3 + 4 + 1 + 42 + 17 + 501 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×34142175010944² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34142175010944.

It is not an unprimeable number, because it can be changed into a prime (34142175010943) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11760995797 + ... + 11760998699.

It is an arithmetic number, because the mean of its divisors is an integer number (61457235840).

Almost surely, 2^{34142175010944} 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 34142175010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70798735687680).

34142175010944 is an abundant number, since it is smaller than the sum of its proper divisors (107455296364416).

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

34142175010944 is a wasteful number, since it uses less digits than its factorization.

34142175010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34142175010944 in words is "thirty-four trillion, one hundred forty-two billion, one hundred seventy-five million, ten thousand, nine hundred forty-four".