42180768000 has 1080 divisors, whose sum is σ = 179967319896. Its totient is φ = 9483264000.

The previous prime is 42180767971. The next prime is 42180768013. The reversal of 42180768000 is 86708124.

It can be written as a sum of positive squares in 4 ways, for example, as 10228490496 + 31952277504 = 101136^2 + 178752^2 .

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, 691487970 + ... + 691488030.

Almost surely, 2^42180768000 is an apocalyptic number.

42180768000 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 42180768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89983659948).

42180768000 is an abundant number, since it is smaller than the sum of its proper divisors (137786551896).

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

42180768000 is an frugal number, since it uses more digits than its factorization.

42180768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 42180768000 in words is "forty-two billion, one hundred eighty million, seven hundred sixty-eight thousand".