33442311341142 has 128 divisors (see below), whose sum is σ = 81690612480000. Its totient is φ = 10056864695040.

The previous prime is 33442311341129. The next prime is 33442311341143. The reversal of 33442311341142 is 24114311324433.

33442311341142 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 231 + 1 + 3 + 411 + 4 + 2 = 666.

It is a super-2 number, since 2×33442311341142² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33442311341097 and 33442311341106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33442311341143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97450834 + ... + 97793402.

It is an arithmetic number, because the mean of its divisors is an integer number (638207910000).

Almost surely, 2^{33442311341142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33442311341142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40845306240000).

33442311341142 is an abundant number, since it is smaller than the sum of its proper divisors (48248301138858).

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

33442311341142 is a wasteful number, since it uses less digits than its factorization.

33442311341142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343843 (or 343837 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 33442311341142 its reverse (24114311324433), we get a palindrome (57556622665575).

The spelling of 33442311341142 in words is "thirty-three trillion, four hundred forty-two billion, three hundred eleven million, three hundred forty-one thousand, one hundred forty-two".