42116800000 has 240 divisors, whose sum is σ = 114792434064. Its totient is φ = 15308800000.

The previous prime is 42116799961. The next prime is 42116800007. The reversal of 42116800000 is 861124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42116800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17598804 + ... + 17601196.

Almost surely, 2^42116800000 is an apocalyptic number.

42116800000 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 42116800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57396217032).

42116800000 is an abundant number, since it is smaller than the sum of its proper divisors (72675634064).

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

42116800000 is an frugal number, since it uses more digits than its factorization.

42116800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 42116800000 in words is "forty-two billion, one hundred sixteen million, eight hundred thousand".