42224311342224 has 120 divisors (see below), whose sum is σ = 131097053224800. Its totient is φ = 12578377259520.

The previous prime is 42224311342219. The next prime is 42224311342253.

42224311342224 is a `hidden beast` number, since 4 + 2 + 224 + 3 + 1 + 1 + 3 + 422 + 2 + 4 = 666.

42224311342224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225811309 + ... + 225998220.

It is an arithmetic number, because the mean of its divisors is an integer number (1092475443540).

Almost surely, 2^{42224311342224} is an apocalyptic number.

42224311342224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42224311342224 is an abundant number, since it is smaller than the sum of its proper divisors (88872741882576).

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

42224311342224 is a wasteful number, since it uses less digits than its factorization.

42224311342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451809613 (or 451809604 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4222431 and 1342224, that added together give a palindrome (5564655).

The spelling of 42224311342224 in words is "forty-two trillion, two hundred twenty-four billion, three hundred eleven million, three hundred forty-two thousand, two hundred twenty-four".