33042100415441 has 8 divisors (see below), whose sum is σ = 35619066864360. Its totient is φ = 30470172026112.

The previous prime is 33042100415417. The next prime is 33042100415449. The reversal of 33042100415441 is 14451400124033.

It can be written as a sum of positive squares in 4 ways, for example, as 22470010000 + 33019630405441 = 149900^2 + 5746271^2 .

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

It is not a de Polignac number, because 33042100415441 - 2¹⁴ = 33042100399057 is a prime.

It is a super-3 number, since 3×33042100415441³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33042100415398 and 33042100415407.

It is not an unprimeable number, because it can be changed into a prime (33042100415449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259501270 + ... + 1259527503.

It is an arithmetic number, because the mean of its divisors is an integer number (4452383358045).

Almost surely, 2^{33042100415441} is an apocalyptic number.

It is an amenable number.

33042100415441 is a deficient number, since it is larger than the sum of its proper divisors (2576966448919).

33042100415441 is a wasteful number, since it uses less digits than its factorization.

33042100415441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519029795.

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 33042100415441 its reverse (14451400124033), we get a palindrome (47493500539474).

The spelling of 33042100415441 in words is "thirty-three trillion, forty-two billion, one hundred million, four hundred fifteen thousand, four hundred forty-one".