42113206800 has 360 divisors, whose sum is σ = 174366146400. Its totient is φ = 9625754880.

The previous prime is 42113206753. The next prime is 42113206801. The reversal of 42113206800 is 860231124.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42113206801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 489411 + ... + 568989.

Almost surely, 2^42113206800 is an apocalyptic number.

42113206800 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 42113206800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87183073200).

42113206800 is an abundant number, since it is smaller than the sum of its proper divisors (132252939600).

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

42113206800 is a wasteful number, since it uses less digits than its factorization.

42113206800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79620 (or 79596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 42113206800 its reverse (860231124), we get a palindrome (42973437924).

The spelling of 42113206800 in words is "forty-two billion, one hundred thirteen million, two hundred six thousand, eight hundred".