42853440000 has 600 divisors, whose sum is σ = 166133170368. Its totient is φ = 9784320000.

The previous prime is 42853439999. The next prime is 42853440001. The reversal of 42853440000 is 4435824.

It is an interprime number because it is at equal distance from previous prime (42853439999) and next prime (42853440001).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 42853440000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42853440001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47039545 + ... + 47040455.

Almost surely, 2^42853440000 is an apocalyptic number.

42853440000 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 42853440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83066585184).

42853440000 is an abundant number, since it is smaller than the sum of its proper divisors (123279730368).

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

42853440000 is an frugal number, since it uses more digits than its factorization.

42853440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 42853440000 its reverse (4435824), we get a palindrome (42857875824).

The spelling of 42853440000 in words is "forty-two billion, eight hundred fifty-three million, four hundred forty thousand".