42224111142224 has 40 divisors (see below), whose sum is σ = 89248343097600. Its totient is φ = 19192363520000.

The previous prime is 42224111142179. The next prime is 42224111142233.

42224111142224 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5662352 + ... + 10794000.

It is an arithmetic number, because the mean of its divisors is an integer number (2231208577440).

Almost surely, 2^{42224111142224} is an apocalyptic number.

42224111142224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42224111142224 is an abundant number, since it is smaller than the sum of its proper divisors (47024231955376).

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

42224111142224 is a wasteful number, since it uses less digits than its factorization.

42224111142224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178419 (or 5178413 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

It can be divided in two parts, 4222411 and 1142224, that added together give a palindrome (5364635).

The spelling of 42224111142224 in words is "forty-two trillion, two hundred twenty-four billion, one hundred eleven million, one hundred forty-two thousand, two hundred twenty-four".