3321444412041 has 32 divisors (see below), whose sum is σ = 5198311572480. Its totient is φ = 1846575009216.

The previous prime is 3321444412031. The next prime is 3321444412051. The reversal of 3321444412041 is 1402144441233.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3321444412031) and next prime (3321444412051).

It is not a de Polignac number, because 3321444412041 - 2⁵ = 3321444412009 is a prime.

It is a super-3 number, since 3×3321444412041³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3321444411993 and 3321444412011.

It is not an unprimeable number, because it can be changed into a prime (3321444412031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16261350 + ... + 16464336.

It is an arithmetic number, because the mean of its divisors is an integer number (162447236640).

Almost surely, 2^{3321444412041} is an apocalyptic number.

It is an amenable number.

3321444412041 is a deficient number, since it is larger than the sum of its proper divisors (1876867160439).

3321444412041 is a wasteful number, since it uses less digits than its factorization.

3321444412041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224093.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 3321444412041 its reverse (1402144441233), we get a palindrome (4723588853274).

The spelling of 3321444412041 in words is "three trillion, three hundred twenty-one billion, four hundred forty-four million, four hundred twelve thousand, forty-one".