42322082880 has 1344 divisors, whose sum is σ = 184310267904. Its totient is φ = 8028979200.

The previous prime is 42322082833. The next prime is 42322082939. The reversal of 42322082880 is 8828022324.

42322082880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 579754524 + ... + 579754596.

It is an arithmetic number, because the mean of its divisors is an integer number (137135616).

Almost surely, 2^42322082880 is an apocalyptic number.

42322082880 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 42322082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92155133952).

42322082880 is an abundant number, since it is smaller than the sum of its proper divisors (141988185024).

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

42322082880 is a wasteful number, since it uses less digits than its factorization.

42322082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 42322082880 in words is "forty-two billion, three hundred twenty-two million, eighty-two thousand, eight hundred eighty".