21442116330000 has 150 divisors (see below), whose sum is σ = 74986178315334. Its totient is φ = 5717897664000.

The previous prime is 21442116329987. The next prime is 21442116330017. The reversal of 21442116330000 is 3361124412.

It is a happy number.

21442116330000 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 21 + 1 + 633 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 10278846372096 + 11163269957904 = 3206064^2 + 3341148^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 119032869 + ... + 119212868.

Almost surely, 2^{21442116330000} is an apocalyptic number.

21442116330000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442116330000 is an abundant number, since it is smaller than the sum of its proper divisors (53544061985334).

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

21442116330000 is a wasteful number, since it uses less digits than its factorization.

21442116330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238245771 (or 238245747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 21442116330000 its reverse (3361124412), we get a palindrome (21445477454412).

The spelling of 21442116330000 in words is "twenty-one trillion, four hundred forty-two billion, one hundred sixteen million, three hundred thirty thousand".