414120134441 has 16 divisors (see below), whose sum is σ = 447466570320. Its totient is φ = 380988783360.

The previous prime is 414120134437. The next prime is 414120134503. The reversal of 414120134441 is 144431021414.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 774008041 + 413346126400 = 27821^2 + 642920^2 .

It is a cyclic number.

It is not a de Polignac number, because 414120134441 - 2² = 414120134437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414120139441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4807571 + ... + 4892951.

It is an arithmetic number, because the mean of its divisors is an integer number (27966660645).

Almost surely, 2^414120134441 is an apocalyptic number.

It is an amenable number.

414120134441 is a deficient number, since it is larger than the sum of its proper divisors (33346435879).

414120134441 is a wasteful number, since it uses less digits than its factorization.

414120134441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86636.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 414120134441 its reverse (144431021414), we get a palindrome (558551155855).

The spelling of 414120134441 in words is "four hundred fourteen billion, one hundred twenty million, one hundred thirty-four thousand, four hundred forty-one".