33340010144441 has 96 divisors (see below), whose sum is σ = 45659248992000. Its totient is φ = 23686394688000.

The previous prime is 33340010144407. The next prime is 33340010144443. The reversal of 33340010144441 is 14444101004333.

It is not a de Polignac number, because 33340010144441 - 2¹⁸ = 33340009882297 is a prime.

It is a super-2 number, since 2×33340010144441² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33340010144398 and 33340010144407.

It is not an unprimeable number, because it can be changed into a prime (33340010144443) 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 95 ways as a sum of consecutive naturals, for example, 465938735 + ... + 466010283.

It is an arithmetic number, because the mean of its divisors is an integer number (475617177000).

Almost surely, 2^{33340010144441} is an apocalyptic number.

It is an amenable number.

33340010144441 is a deficient number, since it is larger than the sum of its proper divisors (12319238847559).

33340010144441 is a wasteful number, since it uses less digits than its factorization.

33340010144441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72111 (or 72100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 33340010144441 its reverse (14444101004333), we get a palindrome (47784111148774).

The spelling of 33340010144441 in words is "thirty-three trillion, three hundred forty billion, ten million, one hundred forty-four thousand, four hundred forty-one".