34122403550240 has 96 divisors (see below), whose sum is σ = 81148541221440. Its totient is φ = 13558620396544.

The previous prime is 34122403550231. The next prime is 34122403550267. The reversal of 34122403550240 is 4205530422143.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34122403550240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32336891 + ... + 33375429.

It is an arithmetic number, because the mean of its divisors is an integer number (845297304390).

Almost surely, 2^{34122403550240} 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 34122403550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40574270610720).

34122403550240 is an abundant number, since it is smaller than the sum of its proper divisors (47026137671200).

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

34122403550240 is a wasteful number, since it uses less digits than its factorization.

34122403550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039914 (or 1039906 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 34122403550240 its reverse (4205530422143), we get a palindrome (38327933972383).

The spelling of 34122403550240 in words is "thirty-four trillion, one hundred twenty-two billion, four hundred three million, five hundred fifty thousand, two hundred forty".