42875000000 has 280 divisors, whose sum is σ = 124023424800. Its totient is φ = 14700000000.

The previous prime is 42874999967. The next prime is 42875000023. The reversal of 42875000000 is 57824.

The cubic root of 42875000000 is 3500.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (280).

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 39 ways as a sum of consecutive naturals, for example, 6124999997 + ... + 6125000003.

Almost surely, 2^42875000000 is an apocalyptic number.

42875000000 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 42875000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62011712400).

42875000000 is an abundant number, since it is smaller than the sum of its proper divisors (81148424800).

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

42875000000 is an frugal number, since it uses more digits than its factorization.

42875000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

Multiplying 42875000000 by its product of nonzero digits (2240), we get a square (96040000000000 = 9800000²).

42875000000 divided by its product of nonzero digits (2240) gives a square (19140625 = 4375²).

Adding to 42875000000 its reverse (57824), we get a palindrome (42875057824).

The spelling of 42875000000 in words is "forty-two billion, eight hundred seventy-five million", and thus it is an aban number.