33412132114440 has 128 divisors (see below), whose sum is σ = 105032136499200. Its totient is φ = 8486855632640.

The previous prime is 33412132114409. The next prime is 33412132114481. The reversal of 33412132114440 is 4441123121433.

It is a happy number.

It is a super-2 number, since 2×33412132114440² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24666396 + ... + 25985675.

It is an arithmetic number, because the mean of its divisors is an integer number (820563566400).

Almost surely, 2^{33412132114440} is an apocalyptic number.

33412132114440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33412132114440 is an abundant number, since it is smaller than the sum of its proper divisors (71620004384760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33412132114440 is a wasteful number, since it uses less digits than its factorization.

33412132114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50652347 (or 50652343 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 33412132114440 its reverse (4441123121433), we get a palindrome (37853255235873).

The spelling of 33412132114440 in words is "thirty-three trillion, four hundred twelve billion, one hundred thirty-two million, one hundred fourteen thousand, four hundred forty".