34048811991040 has 1280 divisors, whose sum is σ = 107962489958400. Its totient is φ = 10001905090560.

The previous prime is 34048811991031. The next prime is 34048811991041. The reversal of 34048811991040 is 4019911884043.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34048811991041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351018680272 + ... + 351018680368.

It is an arithmetic number, because the mean of its divisors is an integer number (84345695280).

Almost surely, 2^{34048811991040} 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 34048811991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53981244979200).

34048811991040 is an abundant number, since it is smaller than the sum of its proper divisors (73913677967360).

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

34048811991040 is an frugal number, since it uses more digits than its factorization.

34048811991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 34048811991040 in words is "thirty-four trillion, forty-eight billion, eight hundred eleven million, nine hundred ninety-one thousand, forty".