33542400042140 has 96 divisors (see below), whose sum is σ = 81438862276800. Its totient is φ = 11469011742720.

The previous prime is 33542400042133. The next prime is 33542400042143. The reversal of 33542400042140 is 4124000424533.

It is a super-2 number, since 2×33542400042140² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33542400042097 and 33542400042106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33542400042143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196775 + ... + 8192894.

It is an arithmetic number, because the mean of its divisors is an integer number (848321482050).

Almost surely, 2^{33542400042140} 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 33542400042140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40719431138400).

33542400042140 is an abundant number, since it is smaller than the sum of its proper divisors (47896462234660).

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

33542400042140 is a wasteful number, since it uses less digits than its factorization.

33542400042140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390775 (or 8390773 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 33542400042140 its reverse (4124000424533), we get a palindrome (37666400466673).

The spelling of 33542400042140 in words is "thirty-three trillion, five hundred forty-two billion, four hundred million, forty-two thousand, one hundred forty".