42579145200 has 120 divisors (see below), whose sum is σ = 144418511088. Its totient is φ = 10686525440.

The previous prime is 42579145187. The next prime is 42579145201. The reversal of 42579145200 is 254197524.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42579145201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1023207 + ... + 1064006.

Almost surely, 2^42579145200 is an apocalyptic number.

42579145200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42579145200 is an abundant number, since it is smaller than the sum of its proper divisors (101839365888).

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

42579145200 is a wasteful number, since it uses less digits than its factorization.

42579145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087251 (or 2087240 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 42579145200 in words is "forty-two billion, five hundred seventy-nine million, one hundred forty-five thousand, two hundred".