42210135552 has 160 divisors (see below), whose sum is σ = 121267238400. Its totient is φ = 12969861120.

The previous prime is 42210135479. The next prime is 42210135553. The reversal of 42210135552 is 25553101224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42210135553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27934477 + ... + 27935987.

It is an arithmetic number, because the mean of its divisors is an integer number (757920240).

Almost surely, 2^42210135552 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 42210135552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60633619200).

42210135552 is an abundant number, since it is smaller than the sum of its proper divisors (79057102848).

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

42210135552 is a wasteful number, since it uses less digits than its factorization.

42210135552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 42210135552 its reverse (25553101224), we get a palindrome (67763236776).

The spelling of 42210135552 in words is "forty-two billion, two hundred ten million, one hundred thirty-five thousand, five hundred fifty-two".