33234213232140 has 288 divisors, whose sum is σ = 95221900021248. Its totient is φ = 8660658585600.

The previous prime is 33234213232111. The next prime is 33234213232189. The reversal of 33234213232140 is 4123231243233.

It is a super-2 number, since 2×33234213232140² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37637840139 + ... + 37637841021.

It is an arithmetic number, because the mean of its divisors is an integer number (330631597296).

Almost surely, 2^{33234213232140} is an apocalyptic number.

33234213232140 is a gapful number since it is divisible by the number (30) 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 33234213232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47610950010624).

33234213232140 is an abundant number, since it is smaller than the sum of its proper divisors (61987686789108).

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

33234213232140 is a wasteful number, since it uses less digits than its factorization.

33234213232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1858 counting only the distinct ones).

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

Adding to 33234213232140 its reverse (4123231243233), we get a palindrome (37357444475373).

The spelling of 33234213232140 in words is "thirty-three trillion, two hundred thirty-four billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred forty".