34130233413120 has 320 divisors, whose sum is σ = 117765028180800. Its totient is φ = 8382566105088.

The previous prime is 34130233413097. The next prime is 34130233413127. The reversal of 34130233413120 is 2131433203143.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130233413127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44447482 + ... + 45208838.

It is an arithmetic number, because the mean of its divisors is an integer number (368015713065).

Almost surely, 2^{34130233413120} is an apocalyptic number.

34130233413120 is a gapful number since it is divisible by the number (30) 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 34130233413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58882514090400).

34130233413120 is an abundant number, since it is smaller than the sum of its proper divisors (83634794767680).

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

34130233413120 is a wasteful number, since it uses less digits than its factorization.

34130233413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761845 (or 761829 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 34130233413120 its reverse (2131433203143), we get a palindrome (36261666616263).

The spelling of 34130233413120 in words is "thirty-four trillion, one hundred thirty billion, two hundred thirty-three million, four hundred thirteen thousand, one hundred twenty".