42818800 has 60 divisors (see below), whose sum is σ = 103649616. Its totient is φ = 16998400.

The previous prime is 42818779. The next prime is 42818803. The reversal of 42818800 is 881824.

42818800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42818803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66480 + ... + 67120.

Almost surely, 2^42818800 is an apocalyptic number.

42818800 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 42818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51824808).

42818800 is an abundant number, since it is smaller than the sum of its proper divisors (60830816).

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

42818800 is a wasteful number, since it uses less digits than its factorization.

42818800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 42818800 is about 6543.6075676954. The cubic root of 42818800 is about 349.8470079638.

The spelling of 42818800 in words is "forty-two million, eight hundred eighteen thousand, eight hundred".