34440443141241 has 32 divisors (see below), whose sum is σ = 50299306387200. Its totient is φ = 20864158730240.

The previous prime is 34440443141239. The next prime is 34440443141263. The reversal of 34440443141241 is 14214134404443.

It is not a de Polignac number, because 34440443141241 - 2¹ = 34440443141239 is a prime.

It is a super-3 number, since 3×34440443141241³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 34440443141241.

It is not an unprimeable number, because it can be changed into a prime (34440443143241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99747421 + ... + 100092101.

It is an arithmetic number, because the mean of its divisors is an integer number (1571853324600).

Almost surely, 2^{34440443141241} is an apocalyptic number.

It is an amenable number.

34440443141241 is a deficient number, since it is larger than the sum of its proper divisors (15858863245959).

34440443141241 is a wasteful number, since it uses less digits than its factorization.

34440443141241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412289.

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 34440443141241 its reverse (14214134404443), we get a palindrome (48654577545684).

The spelling of 34440443141241 in words is "thirty-four trillion, four hundred forty billion, four hundred forty-three million, one hundred forty-one thousand, two hundred forty-one".