34120414211334 has 256 divisors, whose sum is σ = 83576647065600. Its totient is φ = 9158489303040.

The previous prime is 34120414211269. The next prime is 34120414211363. The reversal of 34120414211334 is 43311241402143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34120414211295 and 34120414211304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1526697592 + ... + 1526719940.

It is an arithmetic number, because the mean of its divisors is an integer number (326471277600).

Almost surely, 2^{34120414211334} is an apocalyptic number.

34120414211334 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34120414211334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41788323532800).

34120414211334 is an abundant number, since it is smaller than the sum of its proper divisors (49456232854266).

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

34120414211334 is a wasteful number, since it uses less digits than its factorization.

34120414211334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23355.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 34120414211334 its reverse (43311241402143), we get a palindrome (77431655613477).

The spelling of 34120414211334 in words is "thirty-four trillion, one hundred twenty billion, four hundred fourteen million, two hundred eleven thousand, three hundred thirty-four".