21442655624412 has 48 divisors (see below), whose sum is σ = 54587312164224. Its totient is φ = 6497059320000.

The previous prime is 21442655624387. The next prime is 21442655624449.

21442655624412 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×21442655624412⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7734339 + ... + 10134362.

It is an arithmetic number, because the mean of its divisors is an integer number (1137235670088).

Almost surely, 2^{21442655624412} is an apocalyptic number.

21442655624412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21442655624412 is an abundant number, since it is smaller than the sum of its proper divisors (33144656539812).

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

21442655624412 is a wasteful number, since it uses less digits than its factorization.

21442655624412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17877810 (or 17877808 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

It can be divided in two parts, 2144265 and 5624412, that added together give a palindrome (7768677).

The spelling of 21442655624412 in words is "twenty-one trillion, four hundred forty-two billion, six hundred fifty-five million, six hundred twenty-four thousand, four hundred twelve".