42068880000 has 960 divisors, whose sum is σ = 183426534720. Its totient is φ = 9031680000.

The previous prime is 42068879959. The next prime is 42068880011. The reversal of 42068880000 is 8886024.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×42068880000³ (a number of 33 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 85679755 + ... + 85680245.

It is an arithmetic number, because the mean of its divisors is an integer number (191069307).

Almost surely, 2^42068880000 is an apocalyptic number.

42068880000 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 42068880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91713267360).

42068880000 is an abundant number, since it is smaller than the sum of its proper divisors (141357654720).

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

42068880000 is a wasteful number, since it uses less digits than its factorization.

42068880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 42068880000 in words is "forty-two billion, sixty-eight million, eight hundred eighty thousand".