33141342135540 has 192 divisors, whose sum is σ = 96931911202560. Its totient is φ = 8452531875840.

The previous prime is 33141342135509. The next prime is 33141342135547. The reversal of 33141342135540 is 4553124314133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33141342135547) 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 63 ways as a sum of consecutive naturals, for example, 160133607 + ... + 160340433.

It is an arithmetic number, because the mean of its divisors is an integer number (504853704180).

Almost surely, 2^{33141342135540} is an apocalyptic number.

33141342135540 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 33141342135540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48465955601280).

33141342135540 is an abundant number, since it is smaller than the sum of its proper divisors (63790569067020).

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

33141342135540 is a wasteful number, since it uses less digits than its factorization.

33141342135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208162 (or 208160 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 33141342135540 its reverse (4553124314133), we get a palindrome (37694466449673).

The spelling of 33141342135540 in words is "thirty-three trillion, one hundred forty-one billion, three hundred forty-two million, one hundred thirty-five thousand, five hundred forty".