42213444431224 has 128 divisors (see below), whose sum is σ = 93160977094080. Its totient is φ = 17716368384000.

The previous prime is 42213444431189. The next prime is 42213444431233.

42213444431224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42213444431224² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785003602 + ... + 785057374.

Almost surely, 2^{42213444431224} is an apocalyptic number.

42213444431224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213444431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46580488547040).

42213444431224 is an abundant number, since it is smaller than the sum of its proper divisors (50947532662856).

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

42213444431224 is a wasteful number, since it uses less digits than its factorization.

42213444431224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63761 (or 63757 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

It can be divided in two parts, 4221344 and 4431224, that added together give a palindrome (8652568).

The spelling of 42213444431224 in words is "forty-two trillion, two hundred thirteen billion, four hundred forty-four million, four hundred thirty-one thousand, two hundred twenty-four".