42116676000 has 576 divisors, whose sum is σ = 164509398144. Its totient is φ = 9386496000.

The previous prime is 42116675989. The next prime is 42116676023. The reversal of 42116676000 is 67661124.

42116676000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24107127 + ... + 24108873.

It is an arithmetic number, because the mean of its divisors is an integer number (285606594).

Almost surely, 2^42116676000 is an apocalyptic number.

42116676000 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 42116676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82254699072).

42116676000 is an abundant number, since it is smaller than the sum of its proper divisors (122392722144).

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

42116676000 is a wasteful number, since it uses less digits than its factorization.

42116676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 42116676000 in words is "forty-two billion, one hundred sixteen million, six hundred seventy-six thousand".