34041242221056 has 640 divisors, whose sum is σ = 125130924441600. Its totient is φ = 8916924579840.

The previous prime is 34041242221043. The next prime is 34041242221121. The reversal of 34041242221056 is 65012224214043.

34041242221056 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 12 + 422 + 210 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34041242221056.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56697726 + ... + 57294978.

It is an arithmetic number, because the mean of its divisors is an integer number (195517069440).

Almost surely, 2^{34041242221056} is an apocalyptic number.

34041242221056 is a gapful number since it is divisible by the number (36) 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 34041242221056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62565462220800).

34041242221056 is an abundant number, since it is smaller than the sum of its proper divisors (91089682220544).

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

34041242221056 is a wasteful number, since it uses less digits than its factorization.

34041242221056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597337 (or 597315 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 34041242221056 its reverse (65012224214043), we get a palindrome (99053466435099).

The spelling of 34041242221056 in words is "thirty-four trillion, forty-one billion, two hundred forty-two million, two hundred twenty-one thousand, fifty-six".