42221412224 has 32 divisors (see below), whose sum is σ = 85177711200. Its totient is φ = 20843476992.

The previous prime is 42221412221. The next prime is 42221412241.

42221412224 is nontrivially palindromic in base 10.

42221412224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×42221412224³ (a number of 33 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42221412193 and 42221412202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42221412221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2077577 + ... + 2097800.

It is an arithmetic number, because the mean of its divisors is an integer number (2661803475).

Almost surely, 2^42221412224 is an apocalyptic number.

It is an amenable number.

42221412224 is an abundant number, since it is smaller than the sum of its proper divisors (42956298976).

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

42221412224 is an equidigital number, since it uses as much as digits as its factorization.

42221412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175470 (or 4175458 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The spelling of 42221412224 in words is "forty-two billion, two hundred twenty-one million, four hundred twelve thousand, two hundred twenty-four".