21442422424412 has 48 divisors (see below), whose sum is σ = 42917782328064. Its totient is φ = 9278608416000.

The previous prime is 21442422424411. The next prime is 21442422424429.

21442422424412 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 (21442422424411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49995389 + ... + 50422452.

It is an arithmetic number, because the mean of its divisors is an integer number (894120465168).

Almost surely, 2^{21442422424412} is an apocalyptic number.

21442422424412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21442422424412 is an abundant number, since it is smaller than the sum of its proper divisors (21475359903652).

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

21442422424412 is a wasteful number, since it uses less digits than its factorization.

21442422424412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100418090 (or 100418088 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 2144242 and 2424412, that added together give a palindrome (4568654).

The spelling of 21442422424412 in words is "twenty-one trillion, four hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred twelve".