42895008000 has 1440 divisors, whose sum is σ = 183652909440. Its totient is φ = 9853747200.

The previous prime is 42895007999. The next prime is 42895008001. The reversal of 42895008000 is 80059824.

42895008000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42895007999) and next prime (42895008001).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×42895008000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42895008001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 640223967 + ... + 640224033.

Almost surely, 2^42895008000 is an apocalyptic number.

42895008000 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 42895008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91826454720).

42895008000 is an abundant number, since it is smaller than the sum of its proper divisors (140757901440).

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

42895008000 is a wasteful number, since it uses less digits than its factorization.

42895008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 42895008000 in words is "forty-two billion, eight hundred ninety-five million, eight thousand".