42561693200 has 120 divisors (see below), whose sum is σ = 114908353728. Its totient is φ = 15031779840.

The previous prime is 42561693199. The next prime is 42561693241. The reversal of 42561693200 is 239616524.

It is a super-2 number, since 2×42561693200² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 58334 + ... + 297533.

Almost surely, 2^42561693200 is an apocalyptic number.

42561693200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42561693200 is an abundant number, since it is smaller than the sum of its proper divisors (72346660528).

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

42561693200 is a wasteful number, since it uses less digits than its factorization.

42561693200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355921 (or 355910 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 42561693200 in words is "forty-two billion, five hundred sixty-one million, six hundred ninety-three thousand, two hundred".