34024441104121 has 16 divisors (see below), whose sum is σ = 36695870175888. Its totient is φ = 31360777344000.

The previous prime is 34024441104083. The next prime is 34024441104139. The reversal of 34024441104121 is 12140114442043.

It can be written as a sum of positive squares in 8 ways, for example, as 15787398968896 + 18237042135225 = 3973336^2 + 4270485^2 .

It is not a de Polignac number, because 34024441104121 - 2¹¹ = 34024441102073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34024441104151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29161671 + ... + 30305971.

It is an arithmetic number, because the mean of its divisors is an integer number (2293491885993).

Almost surely, 2^{34024441104121} is an apocalyptic number.

It is an amenable number.

34024441104121 is a deficient number, since it is larger than the sum of its proper divisors (2671429071767).

34024441104121 is a wasteful number, since it uses less digits than its factorization.

34024441104121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147692.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 34024441104121 its reverse (12140114442043), we get a palindrome (46164555546164).

The spelling of 34024441104121 in words is "thirty-four trillion, twenty-four billion, four hundred forty-one million, one hundred four thousand, one hundred twenty-one".