42221212224 has 112 divisors (see below), whose sum is σ = 114554178816. Its totient is φ = 13716172800.

The previous prime is 42221212219. The next prime is 42221212277.

42221212224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 42221212194 and 42221212203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9688254 + ... + 9692610.

It is an arithmetic number, because the mean of its divisors is an integer number (1022805168).

Almost surely, 2^42221212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42221212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57277089408).

42221212224 is an abundant number, since it is smaller than the sum of its proper divisors (72332966592).

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

42221212224 is a wasteful number, since it uses less digits than its factorization.

42221212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 5634 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The spelling of 42221212224 in words is "forty-two billion, two hundred twenty-one million, two hundred twelve thousand, two hundred twenty-four".