33233361040000 has 320 divisors, whose sum is σ = 90295908310080. Its totient is φ = 12079180800000.

The previous prime is 33233361039917. The next prime is 33233361040007. The reversal of 33233361040000 is 4016333233.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×33233361040000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33233361040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2176232365 + ... + 2176247635.

It is an arithmetic number, because the mean of its divisors is an integer number (282174713469).

Almost surely, 2^{33233361040000} 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 33233361040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45147954155040).

33233361040000 is an abundant number, since it is smaller than the sum of its proper divisors (57062547270080).

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

33233361040000 is a wasteful number, since it uses less digits than its factorization.

33233361040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17789 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 33233361040000 its reverse (4016333233), we get a palindrome (33237377373233).

The spelling of 33233361040000 in words is "thirty-three trillion, two hundred thirty-three billion, three hundred sixty-one million, forty thousand".