34130410240000 has 480 divisors, whose sum is σ = 91393564822560. Its totient is φ = 12705251328000.

The previous prime is 34130410239983. The next prime is 34130410240021. The reversal of 34130410240000 is 4201403143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1089264334 + ... + 1089295666.

It is an arithmetic number, because the mean of its divisors is an integer number (190403260047).

Almost surely, 2^{34130410240000} 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 34130410240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696782411280).

34130410240000 is an abundant number, since it is smaller than the sum of its proper divisors (57263154582560).

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

34130410240000 is an equidigital number, since it uses as much as digits as its factorization.

34130410240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31435 (or 31400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34130410240000 its reverse (4201403143), we get a palindrome (34134611643143).

The spelling of 34130410240000 in words is "thirty-four trillion, one hundred thirty billion, four hundred ten million, two hundred forty thousand".