21442622624412 has 96 divisors (see below), whose sum is σ = 54646004851200. Its totient is φ = 6490055070720.

The previous prime is 21442622624333. The next prime is 21442622624413.

21442622624412 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442622624413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687754968 + ... + 687786144.

It is an arithmetic number, because the mean of its divisors is an integer number (569229217200).

Almost surely, 2^{21442622624412} is an apocalyptic number.

21442622624412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21442622624412 is an abundant number, since it is smaller than the sum of its proper divisors (33203382226788).

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

21442622624412 is a wasteful number, since it uses less digits than its factorization.

21442622624412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37211 (or 37209 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 2144262 and 2624412, that added together give a palindrome (4768674).

The spelling of 21442622624412 in words is "twenty-one trillion, four hundred forty-two billion, six hundred twenty-two million, six hundred twenty-four thousand, four hundred twelve".