42204533540224 has 64 divisors (see below), whose sum is σ = 91724045414400. Its totient is φ = 19183643691520.

The previous prime is 42204533540219. The next prime is 42204533540249.

42204533540224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171944817 + ... + 172190095.

It is an arithmetic number, because the mean of its divisors is an integer number (1433188209600).

Almost surely, 2^{42204533540224} is an apocalyptic number.

42204533540224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42204533540224 is an abundant number, since it is smaller than the sum of its proper divisors (49519511874176).

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

42204533540224 is a wasteful number, since it uses less digits than its factorization.

42204533540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367511 (or 367499 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, 4220453 and 3540224, that added together give a palindrome (7760677).

The spelling of 42204533540224 in words is "forty-two trillion, two hundred four billion, five hundred thirty-three million, five hundred forty thousand, two hundred twenty-four".