34141010314124 has 96 divisors (see below), whose sum is σ = 71408706969600. Its totient is φ = 13964699865600.

The previous prime is 34141010314111. The next prime is 34141010314133. The reversal of 34141010314124 is 42141301014143.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846080549 + ... + 846120899.

It is an arithmetic number, because the mean of its divisors is an integer number (743840697600).

Almost surely, 2^{34141010314124} 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 34141010314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35704353484800).

34141010314124 is an abundant number, since it is smaller than the sum of its proper divisors (37267696655476).

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

34141010314124 is a wasteful number, since it uses less digits than its factorization.

34141010314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43263 (or 43261 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 34141010314124 its reverse (42141301014143), we get a palindrome (76282311328267).

The spelling of 34141010314124 in words is "thirty-four trillion, one hundred forty-one billion, ten million, three hundred fourteen thousand, one hundred twenty-four".