34413142010120 has 16 divisors (see below), whose sum is σ = 77429569522860. Its totient is φ = 13765256804032.

The previous prime is 34413142010101. The next prime is 34413142010123. The reversal of 34413142010120 is 2101024131443.

It can be written as a sum of positive squares in 2 ways, for example, as 34300770902596 + 112371107524 = 5856686^2 + 335218^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34413142010120.

It is not an unprimeable number, because it can be changed into a prime (34413142010123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 430164275087 + ... + 430164275166.

Almost surely, 2^{34413142010120} is an apocalyptic number.

It is an amenable number.

34413142010120 is an abundant number, since it is smaller than the sum of its proper divisors (43016427512740).

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

34413142010120 is a wasteful number, since it uses less digits than its factorization.

34413142010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860328550264 (or 860328550260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 34413142010120 its reverse (2101024131443), we get a palindrome (36514166141563).

The spelling of 34413142010120 in words is "thirty-four trillion, four hundred thirteen billion, one hundred forty-two million, ten thousand, one hundred twenty".