42334106880 has 288 divisors, whose sum is σ = 146676458880. Its totient is φ = 10344038400.

The previous prime is 42334106879. The next prime is 42334106951. The reversal of 42334106880 is 8860143324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6935830 + ... + 6941930.

It is an arithmetic number, because the mean of its divisors is an integer number (509293260).

Almost surely, 2^42334106880 is an apocalyptic number.

42334106880 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 42334106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73338229440).

42334106880 is an abundant number, since it is smaller than the sum of its proper divisors (104342352000).

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

42334106880 is a wasteful number, since it uses less digits than its factorization.

42334106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 42334106880 in words is "forty-two billion, three hundred thirty-four million, one hundred six thousand, eight hundred eighty".