42240533504224 has 96 divisors (see below), whose sum is σ = 90895863713760. Its totient is φ = 19163276697600.

The previous prime is 42240533504207. The next prime is 42240533504321.

42240533504224 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, 1514363622 + ... + 1514391514.

It is an arithmetic number, because the mean of its divisors is an integer number (946831913685).

Almost surely, 2^{42240533504224} is an apocalyptic number.

42240533504224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42240533504224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45447931856880).

42240533504224 is an abundant number, since it is smaller than the sum of its proper divisors (48655330209536).

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

42240533504224 is a wasteful number, since it uses less digits than its factorization.

42240533504224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36044 (or 36036 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 4224053 and 3504224, that added together give a palindrome (7728277).

The spelling of 42240533504224 in words is "forty-two trillion, two hundred forty billion, five hundred thirty-three million, five hundred four thousand, two hundred twenty-four".