42102340224 has 128 divisors (see below), whose sum is σ = 128744726400. Its totient is φ = 11941330944.

The previous prime is 42102340223. The next prime is 42102340237. The reversal of 42102340224 is 42204320124.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42102340194 and 42102340203.

It is not an unprimeable number, because it can be changed into a prime (42102340223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311092 + ... + 425420.

It is an arithmetic number, because the mean of its divisors is an integer number (1005818175).

Almost surely, 2^42102340224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64372363200).

42102340224 is an abundant number, since it is smaller than the sum of its proper divisors (86642386176).

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

42102340224 is a wasteful number, since it uses less digits than its factorization.

42102340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114490 (or 114478 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42102340224 its reverse (42204320124), we get a palindrome (84306660348).

The spelling of 42102340224 in words is "forty-two billion, one hundred two million, three hundred forty thousand, two hundred twenty-four".