2133214333440 has 320 divisors, whose sum is σ = 7135423232256. Its totient is φ = 542648696832.

The previous prime is 2133214333363. The next prime is 2133214333447. The reversal of 2133214333440 is 443334123312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (2133214333447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65870532 + ... + 65902908.

Almost surely, 2^{2133214333440} is an apocalyptic number.

2133214333440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133214333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3567711616128).

2133214333440 is an abundant number, since it is smaller than the sum of its proper divisors (5002208898816).

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

2133214333440 is a wasteful number, since it uses less digits than its factorization.

2133214333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32799 (or 32783 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 2133214333440 its reverse (443334123312), we get a palindrome (2576548456752).

The spelling of 2133214333440 in words is "two trillion, one hundred thirty-three billion, two hundred fourteen million, three hundred thirty-three thousand, four hundred forty".