42577873800 has 864 divisors, whose sum is σ = 174340136160. Its totient is φ = 8499456000.

The previous prime is 42577873799. The next prime is 42577873867. The reversal of 42577873800 is 837877524.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 310787332 + ... + 310787468.

It is an arithmetic number, because the mean of its divisors is an integer number (201782565).

Almost surely, 2^42577873800 is an apocalyptic number.

42577873800 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 42577873800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87170068080).

42577873800 is an abundant number, since it is smaller than the sum of its proper divisors (131762262360).

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

42577873800 is a wasteful number, since it uses less digits than its factorization.

42577873800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 42577873800 in words is "forty-two billion, five hundred seventy-seven million, eight hundred seventy-three thousand, eight hundred".