4242285907488 has 144 divisors (see below), whose sum is σ = 12201835758840. Its totient is φ = 1397944762368.

The previous prime is 4242285907481. The next prime is 4242285907513. The reversal of 4242285907488 is 8847095822424.

4242285907488 is a `hidden beast` number, since 4 + 2 + 42 + 28 + 5 + 90 + 7 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2046353138064 + 2195932769424 = 1430508^2 + 1481868^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (4242285907481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175746556 + ... + 175770692.

Almost surely, 2^{4242285907488} is an apocalyptic number.

4242285907488 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 4242285907488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6100917879420).

4242285907488 is an abundant number, since it is smaller than the sum of its proper divisors (7959549851352).

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

4242285907488 is a wasteful number, since it uses less digits than its factorization.

4242285907488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31099 (or 31088 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 4242285907488 in words is "four trillion, two hundred forty-two billion, two hundred eighty-five million, nine hundred seven thousand, four hundred eighty-eight".