42869625600 has 108 divisors (see below), whose sum is σ = 141478759016. Its totient is φ = 11431895040.

The previous prime is 42869625593. The next prime is 42869625613. The reversal of 42869625600 is 652696824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42869625600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1097197 + ... + 1135596.

Almost surely, 2^42869625600 is an apocalyptic number.

42869625600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42869625600 is an abundant number, since it is smaller than the sum of its proper divisors (98609133416).

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

42869625600 is a wasteful number, since it uses less digits than its factorization.

42869625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232822 (or 2232803 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 42869625600 in words is "forty-two billion, eight hundred sixty-nine million, six hundred twenty-five thousand, six hundred".