42243011034224 has 80 divisors (see below), whose sum is σ = 109890909864960. Its totient is φ = 15192291674880.

The previous prime is 42243011034139. The next prime is 42243011034251.

It is a happy number.

42243011034224 is nontrivially palindromic in base 10.

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, 1318759304 + ... + 1318791335.

It is an arithmetic number, because the mean of its divisors is an integer number (1373636373312).

Almost surely, 2^{42243011034224} is an apocalyptic number.

42243011034224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42243011034224 is an abundant number, since it is smaller than the sum of its proper divisors (67647898830736).

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

42243011034224 is a wasteful number, since it uses less digits than its factorization.

42243011034224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637550678 (or 2637550672 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4224301 and 1034224, that added together give a palindrome (5258525).

The spelling of 42243011034224 in words is "forty-two trillion, two hundred forty-three billion, eleven million, thirty-four thousand, two hundred twenty-four".