42721805280 has 384 divisors, whose sum is σ = 168443089920. Its totient is φ = 8842199040.

The previous prime is 42721805279. The next prime is 42721805293. The reversal of 42721805280 is 8250812724.

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 63 ways as a sum of consecutive naturals, for example, 9940092 + ... + 9944388.

It is an arithmetic number, because the mean of its divisors is an integer number (438653880).

Almost surely, 2^42721805280 is an apocalyptic number.

42721805280 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 42721805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84221544960).

42721805280 is an abundant number, since it is smaller than the sum of its proper divisors (125721284640).

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

42721805280 is a wasteful number, since it uses less digits than its factorization.

42721805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The spelling of 42721805280 in words is "forty-two billion, seven hundred twenty-one million, eight hundred five thousand, two hundred eighty".