42210410520 has 128 divisors (see below), whose sum is σ = 134630553600. Its totient is φ = 10563531264.

The previous prime is 42210410461. The next prime is 42210410531. The reversal of 42210410520 is 2501401224.

42210410520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2001 + ... + 290559.

It is an arithmetic number, because the mean of its divisors is an integer number (1051801200).

Almost surely, 2^42210410520 is an apocalyptic number.

42210410520 is a gapful number since it is divisible by the number (40) 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 42210410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67315276800).

42210410520 is an abundant number, since it is smaller than the sum of its proper divisors (92420143080).

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

42210410520 is a wasteful number, since it uses less digits than its factorization.

42210410520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288649 (or 288645 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 42210410520 its reverse (2501401224), we get a palindrome (44711811744).

The spelling of 42210410520 in words is "forty-two billion, two hundred ten million, four hundred ten thousand, five hundred twenty".