42985850880 has 768 divisors, whose sum is σ = 166714329600. Its totient is φ = 9248440320.

The previous prime is 42985850863. The next prime is 42985850903. The reversal of 42985850880 is 8805858924.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 42985850880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380405704 + ... + 380405816.

It is an arithmetic number, because the mean of its divisors is an integer number (217075950).

Almost surely, 2^42985850880 is an apocalyptic number.

42985850880 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 42985850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83357164800).

42985850880 is an abundant number, since it is smaller than the sum of its proper divisors (123728478720).

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

42985850880 is a wasteful number, since it uses less digits than its factorization.

42985850880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 57.

The spelling of 42985850880 in words is "forty-two billion, nine hundred eighty-five million, eight hundred fifty thousand, eight hundred eighty".