42704820000 has 840 divisors, whose sum is σ = 164563369740. Its totient is φ = 10886400000.

The previous prime is 42704819999. The next prime is 42704820001. The reversal of 42704820000 is 2840724.

It is an interprime number because it is at equal distance from previous prime (42704819999) and next prime (42704820001).

It can be written as a sum of positive squares in 10 ways, for example, as 19607184 + 42685212816 = 4428^2 + 206604^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42704820001) by changing a digit.

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 139 ways as a sum of consecutive naturals, for example, 422819950 + ... + 422820050.

Almost surely, 2^42704820000 is an apocalyptic number.

42704820000 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 42704820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281684870).

42704820000 is an abundant number, since it is smaller than the sum of its proper divisors (121858549740).

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

42704820000 is an equidigital number, since it uses as much as digits as its factorization.

42704820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 42704820000 in words is "forty-two billion, seven hundred four million, eight hundred twenty thousand".