34040441120 has 72 divisors (see below), whose sum is σ = 93550448124. Its totient is φ = 11671005696.

The previous prime is 34040441089. The next prime is 34040441131. The reversal of 34040441120 is 2114404043.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29817000976 + 4223440144 = 172676^2 + 64988^2 .

It is a super-3 number, since 3×34040441120³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2163107 + ... + 2178786.

Almost surely, 2^34040441120 is an apocalyptic number.

It is an amenable number.

34040441120 is an abundant number, since it is smaller than the sum of its proper divisors (59510007004).

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

34040441120 is a wasteful number, since it uses less digits than its factorization.

34040441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4341922 (or 4341907 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 34040441120 its reverse (2114404043), we get a palindrome (36154845163).

The spelling of 34040441120 in words is "thirty-four billion, forty million, four hundred forty-one thousand, one hundred twenty".