42241222214224 has 80 divisors (see below), whose sum is σ = 92364209562240. Its totient is φ = 18537882048000.

The previous prime is 42241222214189. The next prime is 42241222214239.

42241222214224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42241222214224² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42241222214224.

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, 188077354 + ... + 188301814.

It is an arithmetic number, because the mean of its divisors is an integer number (1154552619528).

Almost surely, 2^{42241222214224} is an apocalyptic number.

42241222214224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42241222214224 is an abundant number, since it is smaller than the sum of its proper divisors (50122987348016).

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

42241222214224 is a wasteful number, since it uses less digits than its factorization.

42241222214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261380 (or 261374 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 4224122 and 2214224, that added together give a palindrome (6438346).

The spelling of 42241222214224 in words is "forty-two trillion, two hundred forty-one billion, two hundred twenty-two million, two hundred fourteen thousand, two hundred twenty-four".