333221333040 has 240 divisors, whose sum is σ = 1127633139360. Its totient is φ = 88181084160.

The previous prime is 333221333021. The next prime is 333221333051. The reversal of 333221333040 is 40333122333.

It is a happy number.

333221333040 is a `hidden beast` number, since 3 + 3 + 322 + 1 + 3 + 330 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×333221333040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333221332995 and 333221333013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68154916 + ... + 68159804.

It is an arithmetic number, because the mean of its divisors is an integer number (4698471414).

Almost surely, 2^333221333040 is an apocalyptic number.

333221333040 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 333221333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563816569680).

333221333040 is an abundant number, since it is smaller than the sum of its proper divisors (794411806320).

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

333221333040 is a wasteful number, since it uses less digits than its factorization.

333221333040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 333221333040 its reverse (40333122333), we get a palindrome (373554455373).

The spelling of 333221333040 in words is "three hundred thirty-three billion, two hundred twenty-one million, three hundred thirty-three thousand, forty".