42944829600 has 144 divisors (see below), whose sum is σ = 142077468960. Its totient is φ = 11264179200.

The previous prime is 42944829593. The next prime is 42944829619. The reversal of 42944829600 is 692844924.

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 42944829600.

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, 270 + ... + 293069.

It is an arithmetic number, because the mean of its divisors is an integer number (986649090).

Almost surely, 2^42944829600 is an apocalyptic number.

42944829600 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 42944829600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71038734480).

42944829600 is an abundant number, since it is smaller than the sum of its proper divisors (99132639360).

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

42944829600 is a wasteful number, since it uses less digits than its factorization.

42944829600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293423 (or 293410 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 42944829600 in words is "forty-two billion, nine hundred forty-four million, eight hundred twenty-nine thousand, six hundred".