42116800000000 has 468 divisors, whose sum is σ = 114897913828488. Its totient is φ = 15308800000000.

The previous prime is 42116799999979. The next prime is 42116800000019. The reversal of 42116800000000 is 861124.

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 17599998804 + ... + 17600001196.

Almost surely, 2^{42116800000000} is an apocalyptic number.

42116800000000 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 42116800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57448956914244).

42116800000000 is an abundant number, since it is smaller than the sum of its proper divisors (72781113828488).

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

42116800000000 is an frugal number, since it uses more digits than its factorization.

42116800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468 (or 2411 counting only the distinct ones).

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

Adding to 42116800000000 its reverse (861124), we get a palindrome (42116800861124).

The spelling of 42116800000000 in words is "forty-two trillion, one hundred sixteen billion, eight hundred million", and thus it is an aban number.