42975210096 has 720 divisors, whose sum is σ = 159714465120. Its totient is φ = 11019939840.

The previous prime is 42975210077. The next prime is 42975210119. The reversal of 42975210096 is 69001257924.

42975210096 is a `hidden beast` number, since 429 + 7 + 5 + 210 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 146672926 + ... + 146673218.

It is an arithmetic number, because the mean of its divisors is an integer number (221825646).

Almost surely, 2^42975210096 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 42975210096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79857232560).

42975210096 is an abundant number, since it is smaller than the sum of its proper divisors (116739255024).

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

42975210096 is a wasteful number, since it uses less digits than its factorization.

42975210096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 42975210096 in words is "forty-two billion, nine hundred seventy-five million, two hundred ten thousand, ninety-six".