34414146441 has 24 divisors (see below), whose sum is σ = 50921709696. Its totient is φ = 22384383840.

The previous prime is 34414146421. The next prime is 34414146443. The reversal of 34414146441 is 14464141443.

34414146441 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 4 + 1 + 4 + 644 + 1 = 666.

It is not a de Polignac number, because 34414146441 - 2¹³ = 34414138249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34414146396 and 34414146405.

It is not an unprimeable number, because it can be changed into a prime (34414146443) 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, 303751 + ... + 401363.

It is an arithmetic number, because the mean of its divisors is an integer number (2121737904).

Almost surely, 2^34414146441 is an apocalyptic number.

It is an amenable number.

34414146441 is a deficient number, since it is larger than the sum of its proper divisors (16507563255).

34414146441 is a wasteful number, since it uses less digits than its factorization.

34414146441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98573 (or 98570 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 34414146441 its reverse (14464141443), we get a palindrome (48878287884).

The spelling of 34414146441 in words is "thirty-four billion, four hundred fourteen million, one hundred forty-six thousand, four hundred forty-one".