42524810904576 has 2816 divisors, whose sum is σ = 163487520129024. Its totient is φ = 9475522560000.

The previous prime is 42524810904559. The next prime is 42524810904599. The reversal of 42524810904576 is 67540901842524.

It is a tau number, because it is divible by the number of its divisors (2816).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 412862241741 + ... + 412862241843.

Almost surely, 2^{42524810904576} 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 42524810904576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81743760064512).

42524810904576 is an abundant number, since it is smaller than the sum of its proper divisors (120962709224448).

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

42524810904576 is a wasteful number, since it uses less digits than its factorization.

42524810904576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 42524810904576 in words is "forty-two trillion, five hundred twenty-four billion, eight hundred ten million, nine hundred four thousand, five hundred seventy-six".