42865376000 has 288 divisors, whose sum is σ = 112495219200. Its totient is φ = 16243814400.

The previous prime is 42865375921. The next prime is 42865376003. The reversal of 42865376000 is 67356824.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42865376003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102303791 + ... + 102304209.

It is an arithmetic number, because the mean of its divisors is an integer number (390608400).

Almost surely, 2^42865376000 is an apocalyptic number.

42865376000 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 42865376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56247609600).

42865376000 is an abundant number, since it is smaller than the sum of its proper divisors (69629843200).

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

42865376000 is a wasteful number, since it uses less digits than its factorization.

42865376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 42865376000 in words is "forty-two billion, eight hundred sixty-five million, three hundred seventy-six thousand".