33442001213440 has 96 divisors (see below), whose sum is σ = 80256828834000. Its totient is φ = 13374196383744.

The previous prime is 33442001213381. The next prime is 33442001213443. The reversal of 33442001213440 is 4431210024433.

It is a super-2 number, since 2×33442001213440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442001213443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52717666 + ... + 53348254.

Almost surely, 2^{33442001213440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33442001213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40128414417000).

33442001213440 is an abundant number, since it is smaller than the sum of its proper divisors (46814827620560).

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

33442001213440 is an equidigital number, since it uses as much as digits as its factorization.

33442001213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635795 (or 635775 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 33442001213440 its reverse (4431210024433), we get a palindrome (37873211237873).

The spelling of 33442001213440 in words is "thirty-three trillion, four hundred forty-two billion, one million, two hundred thirteen thousand, four hundred forty".