34141410020 has 24 divisors (see below), whose sum is σ = 72178155000. Its totient is φ = 13564908032.

The previous prime is 34141410019. The next prime is 34141410031. The reversal of 34141410020 is 2001414143.

It can be written as a sum of positive squares in 4 ways, for example, as 1207145536 + 32934264484 = 34744^2 + 181478^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34141409974 and 34141410001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5725445 + ... + 5731404.

It is an arithmetic number, because the mean of its divisors is an integer number (3007423125).

Almost surely, 2^34141410020 is an apocalyptic number.

It is an amenable number.

34141410020 is an abundant number, since it is smaller than the sum of its proper divisors (38036744980).

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

34141410020 is a wasteful number, since it uses less digits than its factorization.

34141410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11457007 (or 11457005 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34141410020 its reverse (2001414143), we get a palindrome (36142824163).

The spelling of 34141410020 in words is "thirty-four billion, one hundred forty-one million, four hundred ten thousand, twenty".