414332443120441 has 16 divisors (see below), whose sum is σ = 429813825154560. Its totient is φ = 399107120705280.

The previous prime is 414332443120439. The next prime is 414332443120451. The reversal of 414332443120441 is 144021344233414.

It is a cyclic number.

It is not a de Polignac number, because 414332443120441 - 2¹ = 414332443120439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414332443120394 and 414332443120403.

It is not an unprimeable number, because it can be changed into a prime (414332443120451) 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, 556292101 + ... + 557036413.

It is an arithmetic number, because the mean of its divisors is an integer number (26863364072160).

Almost surely, 2^{414332443120441} is an apocalyptic number.

414332443120441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414332443120441 is a deficient number, since it is larger than the sum of its proper divisors (15481382034119).

414332443120441 is a wasteful number, since it uses less digits than its factorization.

414332443120441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916296.

The product of its (nonzero) digits is 442368, while the sum is 40.

Adding to 414332443120441 its reverse (144021344233414), we get a palindrome (558353787353855).

The spelling of 414332443120441 in words is "four hundred fourteen trillion, three hundred thirty-two billion, four hundred forty-three million, one hundred twenty thousand, four hundred forty-one".