42585485869248 has 336 divisors, whose sum is σ = 141054973448544. Its totient is φ = 11263826165760.

The previous prime is 42585485869219. The next prime is 42585485869291. The reversal of 42585485869248 is 84296858458524.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 7573590 + ... + 11938602.

Almost surely, 2^{42585485869248} is an apocalyptic number.

42585485869248 is a gapful number since it is divisible by the number (48) 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 42585485869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70527486724272).

42585485869248 is an abundant number, since it is smaller than the sum of its proper divisors (98469487579296).

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

42585485869248 is a wasteful number, since it uses less digits than its factorization.

42585485869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365120 (or 4365103 counting only the distinct ones).

The product of its digits is 7077888000, while the sum is 78.

The spelling of 42585485869248 in words is "forty-two trillion, five hundred eighty-five billion, four hundred eighty-five million, eight hundred sixty-nine thousand, two hundred forty-eight".