9004886886240 has 2016 divisors, whose sum is σ = 38143858023936. Its totient is φ = 2001564794880.

The previous prime is 9004886886239. The next prime is 9004886886241. The reversal of 9004886886240 is 426886884009.

9004886886240 is a `hidden beast` number, since 90 + 0 + 488 + 6 + 8 + 8 + 62 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9004886886239) and next prime (9004886886241).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×9004886886240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004886886241) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 47146004545 + ... + 47146004735.

It is an arithmetic number, because the mean of its divisors is an integer number (18920564496).

Almost surely, 2^{9004886886240} is an apocalyptic number.

9004886886240 is a gapful number since it is divisible by the number (90) 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 9004886886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19071929011968).

9004886886240 is an abundant number, since it is smaller than the sum of its proper divisors (29138971137696).

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

9004886886240 is a wasteful number, since it uses less digits than its factorization.

9004886886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 9004886886240 in words is "nine trillion, four billion, eight hundred eighty-six million, eight hundred eighty-six thousand, two hundred forty".