3330411400441 has 8 divisors (see below), whose sum is σ = 3449292182280. Its totient is φ = 3211799885952.

The previous prime is 3330411400411. The next prime is 3330411400471. The reversal of 3330411400441 is 1440041140333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3330411400411) and next prime (3330411400471).

It can be written as a sum of positive squares in 4 ways, for example, as 21814108416 + 3308597292025 = 147696^2 + 1818955^2 .

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 3330411400441 - 2⁷ = 3330411400313 is a prime.

It is a super-2 number, since 2×3330411400441² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3330411400411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67291660 + ... + 67341133.

It is an arithmetic number, because the mean of its divisors is an integer number (431161522785).

Almost surely, 2^{3330411400441} is an apocalyptic number.

It is an amenable number.

3330411400441 is a deficient number, since it is larger than the sum of its proper divisors (118880781839).

3330411400441 is a wasteful number, since it uses less digits than its factorization.

3330411400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134633675.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 3330411400441 its reverse (1440041140333), we get a palindrome (4770452540774).

The spelling of 3330411400441 in words is "three trillion, three hundred thirty billion, four hundred eleven million, four hundred thousand, four hundred forty-one".