9041988729312 has 1152 divisors, whose sum is σ = 34827561861120. Its totient is φ = 2216892810240.

The previous prime is 9041988729223. The next prime is 9041988729313. The reversal of 9041988729312 is 2139278891409.

9041988729312 is a `hidden beast` number, since 90 + 419 + 8 + 87 + 29 + 31 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9041988729312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9041988729313) 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 191 ways as a sum of consecutive naturals, for example, 9198360373 + ... + 9198361355.

It is an arithmetic number, because the mean of its divisors is an integer number (30232258560).

Almost surely, 2^{9041988729312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9041988729312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17413780930560).

9041988729312 is an abundant number, since it is smaller than the sum of its proper divisors (25785573131808).

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

9041988729312 is a wasteful number, since it uses less digits than its factorization.

9041988729312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 9041988729312 in words is "nine trillion, forty-one billion, nine hundred eighty-eight million, seven hundred twenty-nine thousand, three hundred twelve".