34041213133320 has 256 divisors, whose sum is σ = 109788020524800. Its totient is φ = 8412845506560.

The previous prime is 34041213133309. The next prime is 34041213133457. The reversal of 34041213133320 is 2333131214043.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356550390 + ... + 356645850.

It is an arithmetic number, because the mean of its divisors is an integer number (428859455175).

Almost surely, 2^{34041213133320} is an apocalyptic number.

34041213133320 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 34041213133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54894010262400).

34041213133320 is an abundant number, since it is smaller than the sum of its proper divisors (75746807391480).

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

34041213133320 is a wasteful number, since it uses less digits than its factorization.

34041213133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98168 (or 98164 counting only the distinct ones).

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

Adding to 34041213133320 its reverse (2333131214043), we get a palindrome (36374344347363).

The spelling of 34041213133320 in words is "thirty-four trillion, forty-one billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred twenty".