42095133864 has 256 divisors, whose sum is σ = 138670080000. Its totient is φ = 11578152960.

The previous prime is 42095133827. The next prime is 42095133881. The reversal of 42095133864 is 46833159024.

42095133864 is a `hidden beast` number, since 4 + 209 + 51 + 338 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9325272 + ... + 9329784.

It is an arithmetic number, because the mean of its divisors is an integer number (541680000).

Almost surely, 2^42095133864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42095133864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69335040000).

42095133864 is an abundant number, since it is smaller than the sum of its proper divisors (96574946136).

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

42095133864 is a wasteful number, since it uses less digits than its factorization.

42095133864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42095133864 in words is "forty-two billion, ninety-five million, one hundred thirty-three thousand, eight hundred sixty-four".