42240133104224 has 96 divisors (see below), whose sum is σ = 91544314198176. Its totient is φ = 19025741701120.

The previous prime is 42240133104223. The next prime is 42240133104287.

It is a happy number.

42240133104224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42240133104223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174774314 + ... + 175015830.

It is an arithmetic number, because the mean of its divisors is an integer number (953586606231).

Almost surely, 2^{42240133104224} is an apocalyptic number.

42240133104224 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 42240133104224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45772157099088).

42240133104224 is an abundant number, since it is smaller than the sum of its proper divisors (49304181093952).

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

42240133104224 is a wasteful number, since it uses less digits than its factorization.

42240133104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246048 (or 246040 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, 4224013 and 3104224, that added together give a palindrome (7328237).

The spelling of 42240133104224 in words is "forty-two trillion, two hundred forty billion, one hundred thirty-three million, one hundred four thousand, two hundred twenty-four".