42080119200 has 864 divisors, whose sum is σ = 182820298752. Its totient is φ = 8895744000.

The previous prime is 42080119199. The next prime is 42080119201. The reversal of 42080119200 is 291108024.

It is an interprime number because it is at equal distance from previous prime (42080119199) and next prime (42080119201).

It is not an unprimeable number, because it can be changed into a prime (42080119201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35934615 + ... + 35935785.

It is an arithmetic number, because the mean of its divisors is an integer number (211597568).

Almost surely, 2^42080119200 is an apocalyptic number.

42080119200 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 42080119200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91410149376).

42080119200 is an abundant number, since it is smaller than the sum of its proper divisors (140740179552).

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

42080119200 is a wasteful number, since it uses less digits than its factorization.

42080119200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 42080119200 in words is "forty-two billion, eighty million, one hundred nineteen thousand, two hundred".