42561753200 has 60 divisors (see below), whose sum is σ = 103192833480. Its totient is φ = 16868494080.

The previous prime is 42561753193. The next prime is 42561753229. The reversal of 42561753200 is 235716524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444494 + ... + 531693.

It is an arithmetic number, because the mean of its divisors is an integer number (1719880558).

Almost surely, 2^42561753200 is an apocalyptic number.

42561753200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42561753200 is an abundant number, since it is smaller than the sum of its proper divisors (60631080280).

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

42561753200 is a wasteful number, since it uses less digits than its factorization.

42561753200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976314 (or 976303 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 42561753200 in words is "forty-two billion, five hundred sixty-one million, seven hundred fifty-three thousand, two hundred".