42243122134224 has 120 divisors (see below), whose sum is σ = 131968823624352. Its totient is φ = 12503249660160.

The previous prime is 42243122134201. The next prime is 42243122134307.

42243122134224 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 3 + 1 + 221 + 3 + 422 + 4 = 666.

42243122134224 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 a congruent number.

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, 310032327 + ... + 310168550.

Almost surely, 2^{42243122134224} is an apocalyptic number.

42243122134224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42243122134224 is an abundant number, since it is smaller than the sum of its proper divisors (89725701490128).

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

42243122134224 is a wasteful number, since it uses less digits than its factorization.

42243122134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620200945 (or 620200936 counting only the distinct ones).

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

It can be divided in two parts, 4224312 and 2134224, that added together give a palindrome (6358536).

The spelling of 42243122134224 in words is "forty-two trillion, two hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, two hundred twenty-four".