22333202004420 has 288 divisors, whose sum is σ = 68635921536000. Its totient is φ = 5877582826752.

The previous prime is 22333202004413. The next prime is 22333202004427. The reversal of 22333202004420 is 2440020233322.

It is a happy number.

22333202004420 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 32 + 0 + 200 + 4 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (22333202004413) and next prime (22333202004427).

It is not an unprimeable number, because it can be changed into a prime (22333202004427) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6310595011 + ... + 6310598549.

It is an arithmetic number, because the mean of its divisors is an integer number (238319172000).

Almost surely, 2^{22333202004420} is an apocalyptic number.

22333202004420 is a gapful number since it is divisible by the number (20) 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 22333202004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34317960768000).

22333202004420 is an abundant number, since it is smaller than the sum of its proper divisors (46302719531580).

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

22333202004420 is a wasteful number, since it uses less digits than its factorization.

22333202004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 22333202004420 its reverse (2440020233322), we get a palindrome (24773222237742).

The spelling of 22333202004420 in words is "twenty-two trillion, three hundred thirty-three billion, two hundred two million, four thousand, four hundred twenty".