42840342720 has 1680 divisors, whose sum is σ = 199274338560. Its totient is φ = 8527970304.

The previous prime is 42840342719. The next prime is 42840342733. The reversal of 42840342720 is 2724304824.

42840342720 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 (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 996287019 + ... + 996287061.

Almost surely, 2^42840342720 is an apocalyptic number.

42840342720 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 42840342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99637169280).

42840342720 is an abundant number, since it is smaller than the sum of its proper divisors (156433995840).

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

42840342720 is a wasteful number, since it uses less digits than its factorization.

42840342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42840342720 in words is "forty-two billion, eight hundred forty million, three hundred forty-two thousand, seven hundred twenty".