333223040000 has 220 divisors, whose sum is σ = 835695307524. Its totient is φ = 132759552000.

The previous prime is 333223039993. The next prime is 333223040021. The reversal of 333223040000 is 40322333.

It can be written as a sum of positive squares in 10 ways, for example, as 168218100736 + 165004939264 = 410144^2 + 406208^2 .

It is a super-2 number, since 2×333223040000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187519112 + ... + 187520888.

Almost surely, 2^333223040000 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 333223040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417847653762).

333223040000 is an abundant number, since it is smaller than the sum of its proper divisors (502472267524).

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

333223040000 is an equidigital number, since it uses as much as digits as its factorization.

333223040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 333223040000 its reverse (40322333), we get a palindrome (333263362333).

The spelling of 333223040000 in words is "three hundred thirty-three billion, two hundred twenty-three million, forty thousand".