34432010145041 has 24 divisors (see below), whose sum is σ = 36842297683896. Its totient is φ = 32068024934400.

The previous prime is 34432010145023. The next prime is 34432010145047. The reversal of 34432010145041 is 14054101023443.

It can be written as a sum of positive squares in 12 ways, for example, as 285471147025 + 34146538998016 = 534295^2 + 5843504^2 .

It is not a de Polignac number, because 34432010145041 - 2³⁰ = 34430936403217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34432010144989 and 34432010145007.

It is not an unprimeable number, because it can be changed into a prime (34432010145047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1871600855 + ... + 1871619251.

It is an arithmetic number, because the mean of its divisors is an integer number (1535095736829).

Almost surely, 2^{34432010145041} is an apocalyptic number.

It is an amenable number.

34432010145041 is a deficient number, since it is larger than the sum of its proper divisors (2410287538855).

34432010145041 is a wasteful number, since it uses less digits than its factorization.

34432010145041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30309 (or 30212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 34432010145041 its reverse (14054101023443), we get a palindrome (48486111168484).

The spelling of 34432010145041 in words is "thirty-four trillion, four hundred thirty-two billion, ten million, one hundred forty-five thousand, forty-one".