42240122104224 has 48 divisors (see below), whose sum is σ = 120960349665120. Its totient is φ = 12800037000960.

The previous prime is 42240122104189. The next prime is 42240122104249.

42240122104224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 42240122104191 and 42240122104200.

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, 20000056759 + ... + 20000058870.

It is an arithmetic number, because the mean of its divisors is an integer number (2520007284690).

Almost surely, 2^{42240122104224} is an apocalyptic number.

42240122104224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42240122104224 is an abundant number, since it is smaller than the sum of its proper divisors (78720227560896).

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

42240122104224 is a wasteful number, since it uses less digits than its factorization.

42240122104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40000115653 (or 40000115645 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 4224012 and 2104224, that added together give a palindrome (6328236).

The spelling of 42240122104224 in words is "forty-two trillion, two hundred forty billion, one hundred twenty-two million, one hundred four thousand, two hundred twenty-four".