404040404041 has 8 divisors (see below), whose sum is σ = 420680215368. Its totient is φ = 387723696000.

The previous prime is 404040404029. The next prime is 404040404063. The reversal of 404040404041 is 140404040404.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44280364041 + 359760040000 = 210429^2 + 599800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404040404041 - 2³⁷ = 266601450569 is a prime.

It is a super-2 number, since 2×404040404041² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404040403997 and 404040404015.

It is not an unprimeable number, because it can be changed into a prime (404040401041) 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 7 ways as a sum of consecutive naturals, for example, 80773270 + ... + 80778271.

It is an arithmetic number, because the mean of its divisors is an integer number (52585026921).

Almost surely, 2^404040404041 is an apocalyptic number.

404040404041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

404040404041 is a deficient number, since it is larger than the sum of its proper divisors (16639811327).

404040404041 is a wasteful number, since it uses less digits than its factorization.

404040404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161551643.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 404040404041 its reverse (140404040404), we get a palindrome (544444444445).

The spelling of 404040404041 in words is "four hundred four billion, forty million, four hundred four thousand, forty-one".