414034413441 has 32 divisors (see below), whose sum is σ = 609694622208. Its totient is φ = 247822525440.

The previous prime is 414034413439. The next prime is 414034413487. The reversal of 414034413441 is 144314430414.

It is not a de Polignac number, because 414034413441 - 2¹ = 414034413439 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (414034413241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8568150 + ... + 8616336.

It is an arithmetic number, because the mean of its divisors is an integer number (19052956944).

Almost surely, 2^414034413441 is an apocalyptic number.

It is an amenable number.

414034413441 is a deficient number, since it is larger than the sum of its proper divisors (195660208767).

414034413441 is a wasteful number, since it uses less digits than its factorization.

414034413441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51421.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 414034413441 its reverse (144314430414), we get a palindrome (558348843855).

The spelling of 414034413441 in words is "four hundred fourteen billion, thirty-four million, four hundred thirteen thousand, four hundred forty-one".