42134442210 has 192 divisors, whose sum is σ = 131804195328. Its totient is φ = 9130125312.

The previous prime is 42134442209. The next prime is 42134442223. The reversal of 42134442210 is 1224443124.

42134442210 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 4 + 442 + 210 = 666.

It is a super-2 number, since 2×42134442210² (a number of 22 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1624504 + ... + 1650236.

It is an arithmetic number, because the mean of its divisors is an integer number (686480184).

Almost surely, 2^42134442210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42134442210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65902097664).

42134442210 is an abundant number, since it is smaller than the sum of its proper divisors (89669753118).

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

42134442210 is a wasteful number, since it uses less digits than its factorization.

42134442210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25889 (or 25886 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42134442210 its reverse (1224443124), we get a palindrome (43358885334).

The spelling of 42134442210 in words is "forty-two billion, one hundred thirty-four million, four hundred forty-two thousand, two hundred ten".