42861107200 has 288 divisors, whose sum is σ = 117467794080. Its totient is φ = 15427174400.

The previous prime is 42861107153. The next prime is 42861107213. The reversal of 42861107200 is 270116824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20018130 + ... + 20020270.

It is an arithmetic number, because the mean of its divisors is an integer number (407874285).

Almost surely, 2^42861107200 is an apocalyptic number.

42861107200 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 42861107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58733897040).

42861107200 is an abundant number, since it is smaller than the sum of its proper divisors (74606686880).

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

42861107200 is a wasteful number, since it uses less digits than its factorization.

42861107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 42861107200 in words is "forty-two billion, eight hundred sixty-one million, one hundred seven thousand, two hundred".