21233331210240 has 144 divisors (see below), whose sum is σ = 73590910929900. Its totient is φ = 5662221631488.

The previous prime is 21233331210197. The next prime is 21233331210253. The reversal of 21233331210240 is 4201213333212.

21233331210240 is a `hidden beast` number, since 2 + 1 + 2 + 333 + 312 + 10 + 2 + 4 + 0 = 666.

21233331210240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20110273864704 + 1123057345536 = 4484448^2 + 1059744^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115106035 + ... + 115290354.

Almost surely, 2^{21233331210240} is an apocalyptic number.

21233331210240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233331210240 is an abundant number, since it is smaller than the sum of its proper divisors (52357579719660).

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

21233331210240 is a wasteful number, since it uses less digits than its factorization.

21233331210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230396422 (or 230396399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21233331210240 its reverse (4201213333212), we get a palindrome (25434544543452).

The spelling of 21233331210240 in words is "twenty-one trillion, two hundred thirty-three billion, three hundred thirty-one million, two hundred ten thousand, two hundred forty".