33332141103040 has 336 divisors, whose sum is σ = 87774875951040. Its totient is φ = 12048307814400.

The previous prime is 33332141103017. The next prime is 33332141103073. The reversal of 33332141103040 is 4030114123333.

It is a super-2 number, since 2×33332141103040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 486090837 + ... + 486159403.

Almost surely, 2^{33332141103040} 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 33332141103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43887437975520).

33332141103040 is an abundant number, since it is smaller than the sum of its proper divisors (54442734848000).

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

33332141103040 is a wasteful number, since it uses less digits than its factorization.

33332141103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68800 (or 68777 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 33332141103040 its reverse (4030114123333), we get a palindrome (37362255226373).

The spelling of 33332141103040 in words is "thirty-three trillion, three hundred thirty-two billion, one hundred forty-one million, one hundred three thousand, forty".