33300241000000 has 392 divisors, whose sum is σ = 91123972816968. Its totient is φ = 11995392000000.

The previous prime is 33300240999989. The next prime is 33300241000007. The reversal of 33300241000000 is 14200333.

It can be written as a sum of positive squares in 28 ways, for example, as 344925988416 + 32955315011584 = 587304^2 + 5740672^2 .

It is a super-2 number, since 2×33300241000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (33300241000007) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 532968762 + ... + 533031238.

It is an arithmetic number, because the mean of its divisors is an integer number (232459114329).

Almost surely, 2^{33300241000000} 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 33300241000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45561986408484).

33300241000000 is an abundant number, since it is smaller than the sum of its proper divisors (57823731816968).

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

33300241000000 is an frugal number, since it uses more digits than its factorization.

33300241000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62573 (or 62538 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 33300241000000 its reverse (14200333), we get a palindrome (33300255200333).

The spelling of 33300241000000 in words is "thirty-three trillion, three hundred billion, two hundred forty-one million", and thus it is an aban number.