414414022441 has 24 divisors (see below), whose sum is σ = 443589622344. Its totient is φ = 387028212480.

The previous prime is 414414022417. The next prime is 414414022493. The reversal of 414414022441 is 144220414414.

It can be written as a sum of positive squares in 4 ways, for example, as 60858916416 + 353555106025 = 246696^2 + 594605^2 .

It is not a de Polignac number, because 414414022441 - 2⁵ = 414414022409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414414022541) 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, 93735411 + ... + 93739831.

It is an arithmetic number, because the mean of its divisors is an integer number (18482900931).

Almost surely, 2^414414022441 is an apocalyptic number.

It is an amenable number.

414414022441 is a deficient number, since it is larger than the sum of its proper divisors (29175599903).

414414022441 is a wasteful number, since it uses less digits than its factorization.

414414022441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 414414022441 its reverse (144220414414), we get a palindrome (558634436855).

The spelling of 414414022441 in words is "four hundred fourteen billion, four hundred fourteen million, twenty-two thousand, four hundred forty-one".